Properties of the Number 15372

Fifteen Thousand Three Hundred Seventy-Two

Basics

Value: 15371 → 15372 → 15373

Parity: even

Prime: No

Previous Prime: 15361

Next Prime: 15373

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 7 × 61

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110000001100

Octal: 36014

Duodecimal: 8A90

Hexadecimal: 3c0c

Square: 236298384

Square Root: 123.98386991863094

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

Exponential Riordan array (1, x·cosh(x)). A185951

Jordan function J₃(n). A59376

Multiplicative with a(p^e) = 1 - p³. A63453

a(n) = A341529(n) - A341528(n) = (σ(n)*A003961(n)) - (n*σ(A003961(n))). A341512

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

Expansion of f(-x, -x⁵) * f(-x⁶) / f(-x)² in powers of·where f(, ) and f() are Ramanujan θ functions. A132302

a(n,k) equals the number of semistandard Young tableaux with shape of a partition of n and maximal element <= k. A191714

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

Square array, read by antidiagonals, where rows are successive self-convolutions of the top row, which equals A003169 shifted one place right. A100324

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