Properties of the Number 32272

Thirty-Two Thousand Two Hundred Seventy-Two

Basics

Value: 32271 → 32272 → 32273

Parity: even

Prime: No

Previous Prime: 32261

Next Prime: 32297

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 2017

Divisors: 1, 2, 4, 8, 16, 2017, 4034, 8068, 16136, 32272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111111000010000

Octal: 77020

Duodecimal: 16814

Hexadecimal: 7e10

Square: 1041481984

Square Root: 179.64409258308496

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

Fifth subdiagonal in array of n-gonal numbers A081422. A81436

Dirichlet inverse of A011782, 2^n-1. A349452

Positions of zeros in A345055, which is the Dirichlet inverse of A011772. A345053

Expansion of ∏_k>=1 ((1 + x^k²) / (1 - x^k²))^k². A291666

a(n) is the number of free polyominoes with k cells and n-k distinguished vertices. A343417

a(n) = 2^floor((n-1/2)) - n*(n-1)/2. A163417

Number of n X 5 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304949

E.g.f.: exp(x) * (sec(x) - tan(x)) / (1 - x). A347071

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. A304952

Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1)=2. A32272