Properties of the Number 8032

Eight Thousand Thirty-Two

Basics

Value: 8031 → 8032 → 8033

Parity: even

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁵ × 251

Divisors: 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101100000

Octal: 17540

Duodecimal: 4794

Hexadecimal: 1f60

Square: 64513024

Square Root: 89.62142600963232

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) = n*(8·n-5). A139272

Congruence classes of triangles which can be drawn using lattice points in n X n grid as vertices. A28419

Number of partitions of n having population standard deviation >= 1. A238620

9-step Fibonacci sequence starting with 0,0,0,0,0,1,0,0,0. A251748

a(n) = A289670(n)/2^f(n), where f(n) = 2·floor((n-1)/3) + ((n+2) mod 3). A289676

The determinant of an n X n Toeplitz matrix M(n) whose first row consists of successive positive integer numbers 2·n - 1, n - 1, ..., 1 and whose first column consists of 2·n - 1, 2·n - 2, ..., n. A323254

Number of integer partitions of n whose distinct parts are the binary indices of some prime number. A372887

Magic sums of 4 X 4 magic squares composed of triangular numbers. A271579

a(n) = ∑_k=1..n k²*(floor(n/k) - 1). A279847

G.f.: exp( ∑_n>=1 xⁿ/n·exp( ∑_k>=1 σ(n·k) * x^n·k/k ) ). A203320