{"uid":"cap_go1aqDRNFoGqZqtbmcpi-","slug":"numora-perfect-number-check-b5d0b51e","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://numormo.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_Sus6ltPK1Cp_wy7cfmLGy","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 (a positive integer equal to the sum of its proper divisors)","exampleAgentPrompt":"Can you check if 496 is a perfect number?","exampleUseCases":[{"title":"Verify a known perfect number","prompt":"Is 8128 a perfect number? I want to confirm it qualifies by the sum-of-divisors definition."},{"title":"Number theory homework check","prompt":"My math homework asks if 12 is a perfect number — can you verify that for me?"},{"title":"Automated perfect number classification","prompt":"I'm building a number theory tool — check whether 33550336 is a perfect number."}],"resultDescription":"Returns a JSON object with a boolean success flag, a result object indicating whether the input integer n is a perfect number, and a human-readable computation description explaining what was checked.","failureModes":["Missing required field 'n' — returns error if integer is not provided","Non-integer input for n may cause a validation error","Negative integers or zero may return false or an error since perfect numbers are defined for positive integers","Very large integers may cause slow computation or timeout"],"whenToPreferThis":"Use this endpoint when you need a fast, dependency-free, deterministic check of whether an integer is a perfect number as part of a number theory workflow, math education tool, or algorithmic verification pipeline. Prefer this over general-purpose math libraries when you want a pay-per-call micropayment model with no setup or infrastructure.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:07:10.765Z","isFirstParty":false}