Saylor Innovations Data Desk

Number toolkit - primality, prime factorization, divisors, totient, perfect or abundant class, roman numeral, English words, bases and gcd or lcm with a second number

DataLiveeip155:8453Exactvia facilitator:payAI
Is this number primePrime factorization of a numberNumber to roman numeralNumber to english wordsGcd and lcm of two numbers
Calls · 30d
2
This endpoint's own trailing-30-day call count, as published by the upstream catalog and snapshotted daily. 21 snapshots so far.
$15.76
Verified settled volume
1,657 settlements proven x402 by their on-chain EIP-3009 marker.
$0.010
Listed price
As published in the catalog. Always read the live 402 before paying.
—
Calls · 30d
Upstream's own call count for this endpoint, not ours.
—
Unique payers · 30d
Never called
—
Upstream on-chain volume
Reported by the source catalog.
Paid to
0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa

The wallet the 402 directs payment to. Its whole payment record — every payer, every chain — is on the merchant page.

Asset 0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913

Provider

The payTo wallet does not resolve to a registered ERC-8004 agent. That is not a verdict on the service — most of the catalog is unregistered.

Accepts

The payment requirements as published to the catalog. Read the live 402 before paying — a price here is a claim, not a quote.

0.01USDC≈ $0.01 USD
on Base · exact scheme

Pay 0.01 USDC on Base to 0xA2A8…fc8aa. The signed payment is good for 2 minutes.

USD Coin contract
0x8335…02913
Payment window
2 minutes
As published
10000 smallest units
The catalog’s raw entry
[
  {
    "asset": "0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913",
    "extra": {
      "memo": "saylor:datadesk:number-theory",
      "name": "USD Coin",
      "version": "2",
      "facilitatorOnly": true,
      "assetTransferMethod": "eip3009"
    },
    "payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
    "amount": "10000",
    "scheme": "exact",
    "network": "eip155:8453",
    "maxTimeoutSeconds": 120
  }
]

Extensions

{
  "bazaar": {
    "info": {
      "input": {
        "type": "http",
        "method": "GET",
        "queryParams": {
          "m": "84",
          "n": "360360"
        }
      },
      "output": {
        "type": "json",
        "example": {
          "n": 360360,
          "note": "Primality uses deterministic Miller-Rabin (exact for numbers below 2^53); factorization is trial division up to 10^14. Pass m to also get gcd and lcm.",
          "octal": "1277650",
          "binary": "1010111111110101000",
          "source": "number theory",
          "with_m": {
            "m": 84,
            "gcd": 84,
            "lcm": 360360,
            "coprime": false
          },
          "is_even": true,
          "in_words": "three hundred sixty thousand three hundred sixty",
          "is_prime": false,
          "digit_sum": 18,
          "next_prime": 360391,
          "aliquot_sum": 1212120,
          "digit_count": 6,
          "divisor_sum": 1572480,
          "hexadecimal": "57FA8",
          "digital_root": 9,
          "divisor_count": 192,
          "euler_totient": 69120,
          "is_palindrome": false,
          "prime_factors": [
            2,
            3,
            5,
            7,
            11,
            13
          ],
          "roman_numeral": null,
          "classification": "abundant",
          "previous_prime": 360337,
          "is_perfect_cube": false,
          "is_power_of_two": false,
          "is_perfect_square": false,
          "prime_factorization": "2^3 x 3^2 x 5 x 7 x 11 x 13",
          "distinct_prime_factors": 6
        }
      }
    },
    "schema": {
      "type": "object",
      "$schema": "https://json-schema.org/draft/2020-12/schema",
      "required": [
        "input"
      ],
      "properties": {
        "input": {
          "type": "object",
          "required": [
            "type",
            "method"
          ],
          "properties": {
            "type": {
              "type": "string",
              "const": "http"
            },
            "method": {
              "enum": [
                "GET",
                "POST",
                "PUT",
                "PATCH",
                "DELETE",
                "HEAD"
              ],
              "type": "string"
            },
            "queryParams": {
              "type": "object",
              "required": [
                "n"
              ],
              "properties": {
                "m": {
                  "type": "string",
                  "description": "optional second number for gcd and lcm"
                },
                "n": {
                  "type": "string",
                  "description": "Whole number 0 to 9007199254740991"
                }
              }
            }
          },
          "additionalProperties": false
        },
        "output": {
          "type": "object",
          "required": [
            "type"
          ],
          "properties": {
            "type": {
              "type": "string",
              "const": "json"
            },
            "example": {
              "type": "object",
              "required": [
                "n",
                "is_prime",
                "in_words"
              ],
              "properties": {
                "n": {
                  "type": "number",
                  "description": "The integer analysed"
                },
                "note": {
                  "type": "string",
                  "description": "Caveat or context for reading the result"
                },
                "octal": {
                  "type": [
                    "string",
                    "null"
                  ],
                  "description": "Octal representation"
                },
                "binary": {
                  "type": "string",
                  "description": "Binary representation"
                },
                "source": {
                  "type": "string",
                  "description": "Data source the values come from"
                },
                "with_m": {
                  "type": "object",
                  "properties": {
                    "m": {
                      "type": [
                        "number",
                        "null"
                      ],
                      "description": "Second number supplied"
                    },
                    "gcd": {
                      "type": [
                        "number",
                        "null"
                      ],
                      "description": "Greatest common divisor with m"
                    },
                    "lcm": {
                      "type": [
                        "number",
                        "null"
                      ],
                      "description": "Least common multiple with m"
                    },
                    "coprime": {
                      "type": [
                        "boolean",
                        "null"
                      ],
                      "description": "True when n and m share no factor"
                    }
                  },
                  "description": "With m"
                },
                "is_even": {
                  "type": [
                    "boolean",
                    "null"
                  ],
                  "description": "True when this is even"
                },
                "in_words": {
                  "type": "string",
                  "description": "In words"
                },
                "is_prime": {
                  "type": "boolean",
                  "description": "True when this is prime"
                },
                "digit_sum": {
                  "type": "number",
                  "description": "Digit sum"
                },
                "next_prime": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Next prime"
                },
                "aliquot_sum": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Aliquot sum"
                },
                "digit_count": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Number of digit"
                },
                "divisor_sum": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Divisor sum"
                },
                "hexadecimal": {
                  "type": "string",
                  "description": "Hexadecimal representation"
                },
                "digital_root": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Digital root"
                },
                "divisor_count": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Number of divisor"
                },
                "euler_totient": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Euler totient"
                },
                "is_palindrome": {
                  "type": [
                    "boolean",
                    "null"
                  ],
                  "description": "True when this is palindrome"
                },
                "prime_factors": {
                  "type": [
                    "array",
                    "null"
                  ],
                  "description": "Prime factors"
                },
                "roman_numeral": {
                  "type": [
                    "string",
                    "null"
                  ],
                  "description": "Roman numeral"
                },
                "classification": {
                  "type": [
                    "string",
                    "null"
                  ],
                  "description": "Classification assigned by the source"
                },
                "previous_prime": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Previous prime"
                },
                "is_perfect_cube": {
                  "type": [
                    "boolean",
                    "null"
                  ],
                  "description": "True when this is perfect cube"
                },
                "is_power_of_two": {
                  "type": [
                    "boolean",
                    "null"
                  ],
                  "description": "True when this is power of two"
                },
                "is_perfect_square": {
                  "type": "boolean",
                  "description": "True when this is perfect square"
                },
                "prime_factorization": {
                  "type": [
                    "string",
                    "null"
                  ],
                  "description": "Prime factorization"
                },
                "distinct_prime_factors": {
                  "type": [
                    "number",
                    "null"
                  ],
                  "description": "Distinct prime factors"
                }
              }
            }
          }
        }
      }
    }
  }
}

Provenance

Seen in the source catalog
2026-10-18 02:51Z
Last indexed by Roundhouse
2026-10-26 21:16Z
Last enriched (probe, favicon, geo)
2026-10-18 11:15Z
x402 version
2
Max timeout
120s
Liveness probe
HTTP 404
Report

Hand this page to an agent

Copy the prompt and paste it into Claude, an MCP client or your own agent — it will vet this service and call it over the free read API. No key, no account.

GET api.roundhouseai.io/v0/endpoints

This endpoint's own trailing-30-day call count, as published by the upstream catalog and snapshotted daily. 21 snapshots so far. Verified volume counts only settlements with an on-chain EIP-3009 marker.

Open skill.md
Show the prompt
Using Roundhouse, look up the x402 service Saylor Innovations Data Desk and tell me whether it is
worth paying: what a call costs, whether the endpoint answered when last probed, and what
its payment record actually shows.

curl -s 'https://api.roundhouseai.io/v0/endpoints?q=Saylor%20Innovations%20Data%20Desk'
curl -s 'https://api.roundhouseai.io/v0/merchants/<the payTo wallet returned above>'

Then call it: read the price from the live 402 at https://saylorinnovations.com/api/math/number-theory, never from
a cached figure, and pay with an x402 client.

The /v0 API needs an API key (`authorization: Bearer rh_live_…`) on everything except
/v0/unified* and /v0/endpoints. Either pay over x402 (mint a personal key for $0.01 at
GET https://api.roundhouseai.io/v0/test/x402), or ask me for an organization key, which I create at
https://roundhouseai.io/dashboard/connections. If you have neither, ask before going further.

If you do not have Roundhouse tools or skills installed, read
https://roundhouseai.io/skill.md first — it is the whole procedure.