Properties of the Number 1157

One Thousand One Hundred Fifty-Seven

Basics

Value: 1156 → 1157 → 1158

Parity: odd

Prime: No

Previous Prime: 1153

Next Prime: 1163

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 89

Divisors: 1, 13, 89, 1157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010000101

Octal: 2205

Duodecimal: 805

Hexadecimal: 485

Square: 1338649

Square Root: 34.0147027033899

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

a(n) = n² + 1. A2522

Number of compositions of n with distinct differences. A325545

a(n) = 4·n² + 1. A53755

a(n) = a(n-1) + a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 2. A214727

Perfect powers (squares, cubes, etc., not including 1) plus 1. A216765

Numbers that are the sum of 10 positive 5th powers. A3355

a(n) = least m such that if a/b < c/d where a,b,c,d are integers in [0,n], then a/b < k/m < c/d for some integer k. A1000

Diagonal in square spiral or maze arrangement of natural numbers. A80335

G.f.: ∏_k>=1 1/(1+x^k)^k. A255528

Number of 6-ary Lyndon words of length n with trace 0 and subtrace 0 over Z₆. A74422