{"uid":"cap_hu_-DY7_qMt4mutxFjU0E","slug":"numora-perfect-number-check-2e821e8b","name":"Numora Perfect Number Check","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numomo.vercel.app/api/number/perfect-number","method":"POST","headers":{},"bodySchema":{"type":"object","required":["n"],"properties":{"n":{"type":"integer"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_rrkx_Olz7lWyA50bCfPl8","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Determines whether a given integer is a perfect number (equal to the sum of its proper divisors)","exampleAgentPrompt":"Can you check whether 496 is a perfect number — like, does it equal the sum of all its proper divisors?","exampleUseCases":[{"title":"Verifying a classic perfect number","prompt":"Is 28 a perfect number? I want to know if the sum of its proper divisors actually equals 28."},{"title":"Number theory homework check","prompt":"I need to verify whether 8128 is a perfect number for my math assignment — can you confirm it?"},{"title":"Ruling out non-perfect numbers","prompt":"Is 100 a perfect number, or does the sum of its divisors not match? I'm exploring number theory examples."}],"resultDescription":"Returns a JSON object with a boolean success flag, a computation string describing what was checked, and a result object indicating whether the input integer n is a perfect number along with relevant details such as proper divisors and their sum.","failureModes":["Missing required field 'n' returns a validation error","Non-integer or float input may cause a type error","Very large integers may exceed computation limits or cause timeouts","Payment failure via x402 micropayment returns a 402 status before computation begins"],"whenToPreferThis":"Choose this endpoint when you need a reliable, zero-dependency pure math computation to check if a specific integer is a perfect number. Ideal for number theory workflows, educational tools, or math-heavy agent pipelines where calling an external heavy library is impractical. Prefer over general-purpose code execution if you want a clean API response with a human-readable computation description.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-16T00:50:33.748Z","isFirstParty":false}