Properties of the Number 1081

One Thousand Eighty-One

Basics

Value: 1080 → 1081 → 1082

Parity: odd

Prime: No

Previous Prime: 1069

Next Prime: 1087

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 23 × 47

Divisors: 1, 23, 47, 1081

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000111001

Octal: 2071

Duodecimal: 761

Hexadecimal: 439

Square: 1168561

Square Root: 32.87856444554719

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

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0. A931

Second hexagonal numbers: a(n) = n*(2·n + 1). A14105

a(0) = 0, a(1) = a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4). A5251

Sum of positive integers in smallest positive reduced residue system modulo n. a(1) = 1 by convention. A23896

Number of permutations p of [n] satisfying i-2 <= p(i) <= i+4 for all i in [n]. A72850

a(n) = binomial(n,2): number of size-2 subsets of {0,1,...,n} that contain no consecutive integers. A161680

Centered 9-gonal (also known as nonagonal or enneagonal) numbers. Every third triangular number, starting with a(1)=1. A60544

Number of compositions of n into prime parts. A23360

Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {π/2, π/3, 0}. A96231