Properties of the Number 54568

Fifty-Four Thousand Five Hundred Sixty-Eight

Basics

Value: 54567 → 54568 → 54569

Parity: even

Prime: No

Previous Prime: 54563

Next Prime: 54577

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 19 × 359

Divisors: 1, 2, 4, 8, 19, 38, 76, 152, 359, 718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010100101000

Octal: 152450

Duodecimal: 276B4

Hexadecimal: d528

Square: 2977666624

Square Root: 233.59794519644217

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

Smallest b such that the k consecutive primes starting with prime(n) are all base-b Wieferich primes, i.e., satisfy b^p-1 == 1 (mod p²). Square array A(n, k), read by antidiagonals downwards. A286816

A(n, k) is the k-th number b > 1 such that b^prime(n+i-1) == 1 (mod prime(n+i)²) for each i = 0..4, with k running over the positive integers; square array, read by antidiagonals, downwards. A319062

a(n) is the smallest b > 1 such that prime(n), prime(n+1), prime(n+2), prime(n+3) and prime(n+4) are all base-b Wieferich primes. A344829

a(1) = 1; for n>1, a(n) = smallest number that is not a sum or product of any subset of the numbers a(1) to a(n-1). A65026

Numbers k such that A353802(k) / σ(σ(k)) is an integer > 1, where A353802(n) = ∏_p^e||n σ(σ(p^e)). A353807

Expansion of ∏_k>=1 1/((1 - x^k)*(1 - x^4·k)). A318027

Number of n X 3 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 4 binary array having a sum of one, with rows and columns of the latter in lexicographically nondecreasing order. A227382

Numbers k such that k + φ(k) + φ(φ(k)) is a repdigit. A116027

Prime number spiral (clockwise, Southwest spoke). A54568