Properties of the Number 45332

Forty-Five Thousand Three Hundred Thirty-Two

Basics

Value: 45331 → 45332 → 45333

Parity: even

Prime: No

Previous Prime: 45329

Next Prime: 45337

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 × 1619

Divisors: 1, 2, 4, 7, 14, 28, 1619, 3238, 6476, 11333

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000100010100

Octal: 130424

Duodecimal: 22298

Hexadecimal: b114

Square: 2054990224

Square Root: 212.9131278244721

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)/4ⁿ is the expected number of tosses of a coin required to obtain n+1 heads or n+1 tails. A33504

Maximum value of the n-th difference of a permutation of 0..n. A130783

G.f.: exp( ∑_n>=1 A322205(n)*xⁿ/n ), where A322205(n) is the coefficient of x^2·n*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)). A322206

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, 0), (0, 0, 1), (1, -1, 0), (1, 1, -1)}. A148454

Primes congruent to {0, 1, 2, 3} (mod 7). A45332

a(n) = coefficient of x^2·n*yⁿ/n in ∑_n>=1 -log(1 - (xⁿ + yⁿ)) for n >= 1. A322205