Number toolkit
Number toolkit - primality, prime factorization, divisors, totient, perfect or abundant class, roman numeral, English words, bases and gcd or lcm with a second number
Answers HTTP 404 without x402 payment termsour last check, 2026-10-18
0 of 1checks answered this week
n/amedian answer time
$0.01listed price per call
n/aprice it asked us
Paid test badge: not yet. The checks above are free: we call the tool without paying and read the payment request it sends back. The Verified badge needs paid calls whose answers match the promised output, and nobody can buy a badge.
Endpoint
GET https://saylorinnovations.com/api/math/number-theory
| Category | Everything else |
|---|---|
| Provider host | saylorinnovations.com |
| Networks | eip155:8453, solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp |
| Payment schemes | exact |
| Self-reported calls, 30 days | 1 from 1 payers (the provider's figure, not ours) |
Our checks, last 30 days
| Day | Result | HTTP | Asked | Time |
|---|---|---|---|---|
| 2026-10-18 | no x402 terms | 404 | 291 ms |
Example input (from the provider)
{
"method": "GET",
"queryParams": {
"m": "84",
"n": "360360"
},
"type": "http"
}
Promised output schema (from the provider)
{
"$schema": "https://json-schema.org/draft/2020-12/schema",
"properties": {
"input": {
"additionalProperties": false,
"properties": {
"method": {
"enum": [
"GET",
"POST",
"PUT",
"PATCH",
"DELETE",
"HEAD"
],
"type": "string"
},
"queryParams": {
"properties": {
"m": {
"description": "optional second number for gcd and lcm",
"type": "string"
},
"n": {
"description": "Whole number 0 to 9007199254740991",
"type": "string"
}
},
"required": [
"n"
],
"type": "object"
},
"type": {
"const": "http",
"type": "string"
}
},
"required": [
"type",
"method"
],
"type": "object"
},
"output": {
"properties": {
"example": {
"properties": {
"aliquot_sum": {
"description": "Aliquot sum",
"type": [
"number",
"null"
]
},
"binary": {
"type": "string"
},
"classification": {
"description": "Classification assigned by the source",
"type": [
"string",
"null"
]
},
"digit_count": {
"description": "Number of digit",
"type": [
"number",
"null"
]
},
"digit_sum": {
"description": "Digit sum",
"type": "number"
},
"digital_root": {
"description": "Digital root",
"type": [
"number",
"null"
]
},
"distinct_prime_factors": {
"description": "Distinct prime factors",
"type": [
"number",
"null"
]
},
"divisor_count": {
"description": "Number of divisor",
"type": [
"number",
"null"
]
},
"divisor_sum": {
"description": "Divisor sum",
"type": [
"number",
"null"
]
},
"euler_totient": {
"description": "Euler totient",
"type": [
"number",
"null"
]
},
"hexadecimal": {
"type": "string"
},
"in_words": {
"description": "In words",
"type": "string"
},
"is_even": {
"description": "True when this is even",
"type": [
"boolean",
"null"
]
},
"is_palindrome": {
"description": "True when this is palindrome",
"type": [
"boolean",
"null"
]
},
"is_perfect_cube": {
"description": "True when this is perfect cube",
"type": [
"boolean",
"null"
]
},
"is_perfect_square": {
"description": "True when this is perfect square",
"type": "boolean"
},
"is_power_of_two": {
"description": "True when this is power of two",
"type": [
"boolean",
"null"
]
},
"is_prime": {
"description": "True when this is prime",
"type": "boolean"
},
"n": {
"type": "number"
},
"next_prime": {
"description": "Next prime",
"type": [
"number",
"null"
]
},
"note": {
"description": "Caveat or context for reading the result",
"type": "string"
},
"octal": {
"type": [
"string",
"null"
]
},
"previous_prime": {
"description": "Previous prime",
"type": [
"number",
"null"
]
},
"prime_factorization": {
"description": "Prime factorization",
"type": [
"string",
"null"
]
},
"prime_factors": {
"description": "Prime factors",
"type": [
"array",
"null"
]
},
"roman_numeral": {
"description": "Roman numeral",
"type": [
"string",
"null"
]
},
"source": {
"description": "Data source the values come from",
"type": "string"
},
"with_m": {
"description": "With m"
}
},
"required": [
"n",
"is_prime",
"in_words"
],
"type": "object"
},
"type": {
"const": "json",
"type": "string"
}
},
"required": [
"type"
],
"type": "object"
}
},
"required": [
"input"
],
"type": "object"
}