Properties of the Number 9135

Nine Thousand One Hundred Thirty-Five

Basics

Value: 9134 → 9135 → 9136

Parity: odd

Prime: No

Previous Prime: 9133

Next Prime: 9137

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 × 29

Divisors: 1, 3, 5, 7, 9, 15, 21, 29, 35, 45

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110101111

Octal: 21657

Duodecimal: 5353

Hexadecimal: 23af

Square: 83448225

Square Root: 95.57719393244395

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

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

Odd primitive abundant numbers. A6038

Numbers that are the sum of 10 positive 7th powers. A3377

Numbers k such that 3^k - 16 is prime. A219039

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))³. A341241

Floor of concatenation of n, n+1, n+2, n+3, n+4 divided by 5. A74995

Real part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102531

Irregular triangle of odd primitive abundant numbers (A006038) in which row n has numbers with n distinct prime factors. A188439

Number A(n,k) of parts in all k-times partitions of n; square array A(n,k), n>=0, k>=0, read by antidiagonals. A327618