Properties of the Number 5135

Five Thousand One Hundred Thirty-Five

Basics

Value: 5134 → 5135 → 5136

Parity: odd

Prime: No

Previous Prime: 5119

Next Prime: 5147

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 13 × 79

Divisors: 1, 5, 13, 65, 79, 395, 1027, 5135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000001111

Octal: 12017

Duodecimal: 2B7B

Hexadecimal: 140f

Square: 26368225

Square Root: 71.65891430938652

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

Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0). A1631

Multiples of 13 containing a 13 in their decimal representation. A121033

Expansion of ∑_n>=1 ( (1 + xⁿ)ⁿ - 1 ). A318636

Number of distinct means of nonempty subsets of {1,...,n}. A135342

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302265

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302808

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302965

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303469

Sum of the second largest parts of the partitions of n into 8 squarefree parts. A326451

Numbers not of the form a² + b³ + c⁴ + d⁵ for a,b,c,d >= 0. A111151