Properties of the Number 13135

Thirteen Thousand One Hundred Thirty-Five

Basics

Value: 13134 → 13135 → 13136

Parity: odd

Prime: No

Previous Prime: 13127

Next Prime: 13147

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 37 × 71

Divisors: 1, 5, 37, 71, 185, 355, 2627, 13135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101001111

Octal: 31517

Duodecimal: 7727

Hexadecimal: 334f

Square: 172528225

Square Root: 114.60802764204608

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

Decimal value of the bitmap of active segments in 7-segment display of the number n, variant 2 ("abcdefg" scheme: bits represent segments in clockwise order). A234692

Expansion of ∏_k>0 (∑_m>=0 x^k·m²). A300446

Expansion of exp( ∑_n>=1 -sigma₅(n)*xⁿ/n ) in powers of x. A283271

Number of polypons with n cells. A57784

Triangular matchstick numbers in the class of prime numbers: sum of n-th and next n primes. A105720

Number of Garden of Eden partitions of n in Bulgarian Solitaire. A123975

Numerators of convergents to π using best rational approximation whose denominator is between consecutive powers of 2: [2ⁿ, 2ⁿ⁺¹-1], where n = 0, 1, 2, ... A325158

a(n) = 12·n² + 2·n + 1. A194454

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 734", based on the 5-celled von Neumann neighborhood. A290212

Exponents k where A000120(3^k) - A070939(3^k)/2 reaches a new minimum. A372097