Properties of the Number 72498

Seventy-Two Thousand Four Hundred Ninety-Eight

Basics

Value: 72497 → 72498 → 72499

Parity: even

Prime: No

Previous Prime: 72497

Next Prime: 72503

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 43 × 281

Divisors: 1, 2, 3, 6, 43, 86, 129, 258, 281, 562

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001101100110010

Octal: 215462

Duodecimal: 35B56

Hexadecimal: 11b32

Square: 5255960004

Square Root: 269.25452642434817

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

Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)² = (S_i S_j)⁶ = I. A163876

Number of compositions of n with distinct differences up to sign. A325552

a(n) = ∑_k=1..n C(n, floor(n/k)). A51054

Expansion of ∏_k>=1 ((1 + x^k) * (1 + 2·x^k)). A266819

E.g.f. satisfies A(x) = 1 / (2 - exp(x·A(x)^1/3))³. A375898

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (F(2), F(3), F(4), ...), t = A001950 (upper Wythoff sequence). A25108

G.f.: A(x) = 1+x*(1+x*(1+x*(...(1+x*(...)^-2ⁿ )...)^-4)^-2)^-1. A121588

n is not equal to the product of the k smallest divisors of n for any k. A72498