Properties of the Number 88452

Eighty-Eight Thousand Four Hundred Fifty-Two

Basics

Value: 88451 → 88452 → 88453

Parity: even

Prime: No

Previous Prime: 88427

Next Prime: 88463

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁵ × 7 × 13

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 13, 14

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101100110000100

Octal: 254604

Duodecimal: 43230

Hexadecimal: 15984

Square: 7823756304

Square Root: 297.4088095534495

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

Expansion of q * (f(q⁹) / f(q))³ in powers of q where f() is a Ramanujan θ function. A227454

Infinite lower triangular matrix, M, that satisfies [M³](i,j) = M(i+1,j+1) for all i,j>=0 where [Mⁿ](i,j) denotes the element at row i, column j, of the n-th power of matrix M, with M(0,k)=1 and M(k,k)=1 for all k>=0. A78122

a(n) = n²*(n² - 1)/6. A8911

Expansion of 1/((1-3·x)*(1-9·x)). A16142

Initial values for f(x)=φ(σ(x)) such that iteration of f ends in cycle of length=11. A96888

Series expansion of (η(q⁹) / η(q))³ in powers of q. A121589

Pentagonal numbers > 0 which are not the difference of two larger pentagonal numbers. A136113

Least Niven number for all bases from 1 to n but not for base n+1. A225427

θ series of A₈ lattice. A8448

Pentagonal numbers > 0 which are not the difference of two other pentagonal numbers > 0. A135769