Properties of the Number 10292

Ten Thousand Two Hundred Ninety-Two

Basics

Value: 10291 → 10292 → 10293

Parity: even

Prime: No

Previous Prime: 10289

Next Prime: 10301

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 31 × 83

Divisors: 1, 2, 4, 31, 62, 83, 124, 166, 332, 2573

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000110100

Octal: 24064

Duodecimal: 5B58

Hexadecimal: 2834

Square: 105925264

Square Root: 101.44949482377919

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Pentagonal numbers with odd index: a(n) = (2·n+1)*(3·n+1). A33570

Expansion of (φ³(q³) / φ(q)) * (ψ(-q³) / ψ³(-q)) in powers of q where φ(), ψ() are Ramanujan θ functions. A164617

Expansion of (χ(-q³)/ χ³(-q) -1)/3 in powers of q where χ() is a Ramanujan θ function. A128129

T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards. A200534

Expansion of q * ψ(-q⁹) / ψ(-q) in powers of q where ψ() is a Ramanujan θ function. A132975

Pentagonal numbers with prime indices. A116995

Expansion of (1/3) * (c(q)² / c(q²)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128641

Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers. A136117

Expansion of q*ψ(q⁹)/ψ(q) in powers of q. A124243

Expansion of (1/3) * (c(q²)² / c(q)) / (b(q²)² / b(q)) in powers of q where b(), c() are cubic AGM θ functions. A128640