Properties of the Number 90572

Ninety Thousand Five Hundred Seventy-Two

Basics

Value: 90571 → 90572 → 90573

Parity: even

Prime: No

Previous Prime: 90547

Next Prime: 90583

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 22643

Divisors: 1, 2, 4, 22643, 45286, 90572

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110000111001100

Octal: 260714

Duodecimal: 444B8

Hexadecimal: 161cc

Square: 8203287184

Square Root: 300.9518233870664

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 groups of order prime(n)⁶. A232106

a(n) = 3·p²+39·p+344+24·gcd(p-1,3)+11·gcd(p-1,4)+2·gcd(p-1,5), where p = prime(n). A269749

a(n) is the numerator of the expected depth of the tree representing the process of eliminating from n people a random group by tossing coins, and repeating this process recursively until a single loser is determined. A372422

Number of configurations of the 3-dimensional 2 X 2 X 2 sliding cube puzzle that require a minimum of n moves to be reached. A90572

Triangle T(n,k) = |Re|+|Im| where Re+i·Im is the complex coefficient of [x^k] of the series (1-x)ⁿ⁺¹ * ∑_k>=0 ((1+i)*k+i)ⁿ *x^k and i the imaginary unit, row n and column k. A179086

a(n) is the determinant of the matrix with elements gcd(i,j) for 2 <= i,j <= n. A330967

Decimal expansion of 2 - (log(π) - γ)/log(2). A372426