Properties of the Number 29157

Twenty-Nine Thousand One Hundred Fifty-Seven

Basics

Value: 29156 → 29157 → 29158

Parity: odd

Prime: No

Previous Prime: 29153

Next Prime: 29167

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 9719

Divisors: 1, 3, 9719, 29157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000111100101

Octal: 70745

Duodecimal: 14A59

Hexadecimal: 71e5

Square: 850130649

Square Root: 170.75420931854066

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

Quotients connected with the Banach matchboxes problem: ∑_{i=1..prime(n)-9} 2^i-1*binomial(i+3,4)/prime(n) (case 4). A238698

Number of parts in all partitions of n in which no part occurs more than ten times. A320613

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 433", based on the 5-celled von Neumann neighborhood. A272147

Number of partitions of n into parts not of the form 21k, 21k+5 or 21k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 9 are greater than 1. A35983

Number of partitions with at most one part divisible by 5. A39905

Maximum cycle size in range [A014137(n-1)..A014138(n-1)] of permutation A082355/A082356. A89427

Expansion of 1/((1-x²)*(1-x³)*(1-x⁷)*(1-x⁹)). A29157