Properties of the Number 5537

Five Thousand Five Hundred Thirty-Seven

Basics

Value: 5536 → 5537 → 5538

Parity: odd

Prime: No

Previous Prime: 5531

Next Prime: 5557

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 ² × 113

Divisors: 1, 7, 49, 113, 791, 5537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1010110100001

Octal: 12641

Duodecimal: 3255

Hexadecimal: 15a1

Square: 30658369

Square Root: 74.41102068914255

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 integer partitions of n that are constant or whose part multiplicities, except possibly the first and last, are all even. A349060

Expansion of ∏_k>=1 1/(1 - x^k/(1 + x)^k). A320590

Irregular triangle read by rows: row n, for n >= 0, lists the nonnegative differences 3ⁿ - 2^m, m >= 0, in increasing order. A227048

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255101

G.f.: ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)ⁿ. A291937

Odd composite integers m such that A086902(m-J(m,53)) == 2·J(m,53) (mod m), where J(m,53) is the Jacobi symbol. A339128

a(n) = floor(C(n,6)/7). A11797

a(n) = 2·n² + 15·n. A139579

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 633", based on the 5-celled von Neumann neighborhood. A273299

Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) = cn(2,5) = cn(3,5). A202087