Properties of the Number 6137

Six Thousand One Hundred Thirty-Seven

Basics

Value: 6136 → 6137 → 6138

Parity: odd

Prime: No

Previous Prime: 6133

Next Prime: 6143

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 17 × 19 ²

Divisors: 1, 17, 19, 323, 361, 6137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011111111001

Octal: 13771

Duodecimal: 3675

Hexadecimal: 17f9

Square: 37662769

Square Root: 78.33900688673555

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 of even length whose greatest multiplicity is at most half their length. A338914

a(2·n) = 9·2ⁿ - 7, a(2·n+1) = 3·2ⁿ⁺² - 7. A354789

T(n,m), numerators of coefficients in a power/Fourier series expansion of the plane pendulum's exact phase space trajectory. A273506

a(n) = 17·n². A244630

Number of hierarchical orderings for n unlabeled elements with 2 possible classes for levels l>=2. A104460

Greatest positive integer whose weakly increasing prime indices have weighted sum (A304818) equal to n. A359497

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = a(2) = 1 and a(3) = 2. A50028

Number of ordered triples (i,j,k) with |i|, |j|, |k|, |i·j*k| <= n. A226359

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 2. A50044

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 3 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 2. A50060