Properties of the Number 9157

Nine Thousand One Hundred Fifty-Seven

Basics

Value: 9156 → 9157 → 9158

Parity: odd

Prime: Yes

Previous Prime: 9151

Next Prime: 9161

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 9157

Divisors: 1, 9157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001111000101

Octal: 21705

Duodecimal: 5371

Hexadecimal: 23c5

Square: 83850649

Square Root: 95.69221493935649

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

Primes with first digit 9. A45715

Number A(n,k) of tilings of a k X n rectangle using tetrominoes of any shape; square array A(n,k), n>=0, k>=0, read by antidiagonals. A230031

Meandric numbers for a river crossing up to 10 parallel roads at n points. A209622

Number of tilings of a 4 X n rectangle with n tetrominoes of any shape. A174248

Numbers n such that n!! - 2 is prime. A94144

Number of partitions of n containing a clique of size 3. A183560

Expansion of ψ(x²) / f(-x) in powers of·where ψ(), f() are Ramanujan θ functions. A98613

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, two or four distinct values, and new values 0..3 introduced in row major order. A210143

Primes that remain prime when a single "7" digit is inserted between any two adjacent digits. A217065

Numbers that are the sum of seven fourth powers in four or more ways. A345570