Properties of the Number 1082

One Thousand Eighty-Two

Basics

Value: 1081 → 1082 → 1083

Parity: even

Prime: No

Previous Prime: 1069

Next Prime: 1087

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 541

Divisors: 1, 2, 541, 1082

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000111010

Octal: 2072

Duodecimal: 762

Hexadecimal: 43a

Square: 1170724

Square Root: 32.89376840679705

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 polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

Number of necklaces of partitions of n+1 labeled beads. A629

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3⁴.6 2D tiling (cf. A250120). A299254

Number of connected strict integer partitions of n. A304714

a(n) = 1 + n + 2·n². A84849

a(n) = 1 + (n-2)*(n-1)/2. A152947

a(n) = ∑_k=1..n lcm(n,k)/n. A57661

Numbers k such that φ(k) = φ(σ(k)). A6872

Expansion of reciprocal of Hauptmodul for Gamma₀(18). A92848

Numbers of the form p² + q², with p and q primes. A45636