Properties of the Number 4135

Four Thousand One Hundred Thirty-Five

Basics

Value: 4134 → 4135 → 4136

Parity: odd

Prime: No

Previous Prime: 4133

Next Prime: 4139

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5 × 827

Divisors: 1, 5, 827, 4135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000100111

Octal: 10047

Duodecimal: 2487

Hexadecimal: 1027

Square: 17098225

Square Root: 64.3039656630911

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 difference -2. A350842

Expansion of 1/(x + sqrt(1-4x)). A81696

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302460

Number of integer partitions of n whose sequence of multiplicities is a palindrome. A317085

Path-counting triangular array T(i,j), read by rows, obtained from array t in A038792 by T(i,j) = t(2·i-j, j) (for i >= 1 and 1 <= j <= i). A38730

Irregular triangle read by rows giving T(n,k) = number of rooted graphs on n + 1 nodes with k edges (n >= 0, 0 <= k <= n(n-1)/2). A70166

a(n) = 6·n² + 3·n + 1. A85473

Number of partitions of n where the difference between consecutive parts is at most 6. A238866

Magic constants of 5 X 5 magic squares which consist of consecutive primes. A176571

Number of partitions of n such that 5*(least part) = greatest part. A237827