Properties of the Number 5159

Five Thousand One Hundred Fifty-Nine

Basics

Value: 5158 → 5159 → 5160

Parity: odd

Prime: No

Previous Prime: 5153

Next Prime: 5167

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 11 × 67

Divisors: 1, 7, 11, 67, 77, 469, 737, 5159

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000100111

Octal: 12047

Duodecimal: 2B9B

Hexadecimal: 1427

Square: 26615281

Square Root: 71.82617907142215

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 with no adjacent parts having quotient > 2. A342094

Number of integer partitions of n whose sequence of frequencies is strictly increasing. A100471

Number of partitions of n such that all parts, with the possible exception of the smallest, appear only once. A115029

Integer part of Gauss's Arithmetic-Geometric Mean M(1,n³). A127759

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 6. A60025

Number of n-regular, N₀-weighted pseudographs on 2 vertices with total edge weight 8, up to isomorphism. A358248

Maximal number of squares of side 1 in a disk of radius n. A125228

Expansion of (1/(1 - x))*∏_k>=1 1/(1 - x^k*(k+1/2)). A302835

Number of nonnegative solutions to (x₁)² + (x₂)² + ... + (x₆)² <= n. A341401

Numbers k such that k divides the numerator of B(2k) (the Bernoulli numbers), but gcd(3k, 8^k+1) > 3. A70192