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Properties of the Number 5637

Five Thousand Six Hundred Thirty-Seven

Basics

Value: 5636 → 5637 → 5638

Parity: odd

Prime: No

Previous Prime: 5623

Next Prime: 5639

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 1879

Divisors: 1, 3, 1879, 5637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1011000000101

Octal: 13005

Duodecimal: 3319

Hexadecimal: 1605

Square: 31775769

Square Root: 75.07995737878386

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

Triangle read by rows: T[n,k] = number of n X n binary matrices with k=0...n2 ones, distinct up to cyclic shifts of rows and columns; reflection through any vertical or horizontal axis; and reflection through the main diagonal. Also, quasi-n-ominoes on a torus divided into a k X k grid. A93466
Numbers k such that the decimal digits of φ(k) are a permutation of those of k. A115921
T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 one less than the number of 0's adjacent to some 1. A284771
Numbers k such that τ(k) + τ(k+1) + τ(k+2) = 10, where τ is the number of divisors function A000005. A350675
Lexicographically earliest sequence of distinct positive integers with no finite subset summing to a power of 2. A353889
Self-convolution 5th power equals A106222, which consists entirely of digits {0,1,2,3,4} after the initial terms {1,5}. A106223
Number of partitions p of n such that the number of parts having multiplicity 1 is not a part and max(p) - min(p) is a part. A241448
Number of strict integer partitions of the n-th prime into a prime number of prime parts. A316185
G.f. A(x) satisfies: (1 - x·A(x))5 = 1 - 5·x - x5*A(x5). A352704
Consecutive states of the linear congruential pseudo-random number generator used by OMNITAB II when started at 1. A384152