Properties of the Number 5624

Five Thousand Six Hundred Twenty-Four

Basics

Value: 5623 → 5624 → 5625

Parity: even

Prime: No

Previous Prime: 5623

Next Prime: 5639

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 19 × 37

Divisors: 1, 2, 4, 8, 19, 37, 38, 74, 76, 148

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010111111000

Octal: 12770

Duodecimal: 3308

Hexadecimal: 15f8

Square: 31629376

Square Root: 74.9933330370107

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

8 times triangular numbers: a(n) = 4·n*(n+1). A33996

Number of inequivalent n X n binary matrices, where equivalence means permutations of rows or columns. A2724

Triangle read by rows: T(n,k) = number of n-node graphs with k nodes in distinguished bipartite block, k = 0..n. A28657

Number A(n,k) of inequivalent n X n matrices with entries from [k], where equivalence means permutations of rows or columns; square array A(n,k), n>=0, k>=0, read by antidiagonals. A246106

Abundant numbers n for which the abundance d = σ(n) - 2·n is a proper divisor, that is, 0 < d < n and d | n. A181595

Number A(n,k) of tilings of a k X n rectangle using dominoes and straight (3 X 1) trominoes; square array A(n,k), n>=0, k>=0, read by antidiagonals. A219866

Number of integer partitions y of n such that y_i = y_i+1 for all even i. A351003

a(n) = ∑_{d∣n, n/d=1 mod 4} d³ - ∑_{d∣n, n/d=3 mod 4} d³. A50471

Abundant numbers n such that n/(σ(n)-2n) is an integer. A153501

Fundamental discriminants of real quadratic number fields with class number 6. A218156