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Properties of the Number 8135

Eight Thousand One Hundred Thirty-Five

Basics

Value: 8134 → 8135 → 8136

Parity: odd

Prime: No

Previous Prime: 8123

Next Prime: 8147

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 1627

Divisors: 1, 5, 1627, 8135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1111111000111

Octal: 17707

Duodecimal: 485B

Hexadecimal: 1fc7

Square: 66178225

Square Root: 90.19423484901904

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

Central pentanomial coefficients: largest coefficient of (1 + x + ... + x4)n. A5191
Square array read by diagonals: T(n,k) = number of arrays of n integers in -k..k with sum equal to 0. A201552
Triangular matrix T, read by rows, that satisfies: SHIFTLEFT(column 0 of Tp) = p*(column p+1 of T), or [Tp](m,0) = p·T(p+m,p+1) for all m>=1 and p>=-1. A104980
Number of compositions of n with a run of length > 2. A335464
Numbers k such that k, k+2, k+4, k+6, k+8 are semiprimes. A92127
T(n,k)=Number of zero-sum nXk -2..2 arrays with every element unequal to at most two horizontal and vertical neighbors. A201803
T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A300314
T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A305918
Number of colored integer partitions of 2n such that all colors from an n-set are used and parts differ by size or by color. A324595
Number of ways to split a strict integer partition of n into consecutive subsequences of equal length. A323434