Properties of the Number 5638

Five Thousand Six Hundred Thirty-Eight

Basics

Value: 5637 → 5638 → 5639

Parity: even

Prime: No

Previous Prime: 5623

Next Prime: 5639

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 2819

Divisors: 1, 2, 2819, 5638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000000110

Octal: 13006

Duodecimal: 331A

Hexadecimal: 1606

Square: 31787044

Square Root: 75.08661665037252

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 configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Number of palindromic partitions of n with greatest part of multiplicity 2. A238779

Molien series for 3-D group X1. A37240

Number of partitions p of n such that if h = min(p), then h is an (h,1)-separator of p; see Comments. A239497

Semiprimes s such that φ(s)/2 is prime. A194593

Number of nX2 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300500

Number of 0's in the binary expansion of A127962(n). A127964

Number of (n+1) X (1+1) 0..3 arrays with no element unequal to a strict majority of its horizontal and vertical neighbors, with values 0..3 introduced in row major order. A231337

Numbers k such that sigma₀(k-1) + sigma₀(k) + sigma₀(k+1) = 10, where sigma₀(k) = A000005(k). A317670

Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n). A63381