Properties of the Number 32513

Thirty-Two Thousand Five Hundred Thirteen

Basics

Value: 32512 → 32513 → 32514

Parity: odd

Prime: No

Previous Prime: 32507

Next Prime: 32531

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 13 × 41 × 61

Divisors: 1, 13, 41, 61, 533, 793, 2501, 32513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111100000001

Octal: 77401

Duodecimal: 16995

Hexadecimal: 7f01

Square: 1057095169

Square Root: 180.31361568112376

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) = 2²ⁿ⁺¹ - 2ⁿ⁺¹ + 1. A92440

Expansion of the reciprocal of the g.f. defining A039924. A3116

Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A274058

-7-Knödel numbers. A225511

Table of coefficients in row functions R(n,x) such that [x^k] exp( kⁿ * x ) / R(n,x) = 0 for k>=1 and n>=1. A304320

Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention. A389918

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 779", based on the 5-celled von Neumann neighborhood. A290296

A symmetrical triangle read by rows: T(n, k) = 2ⁿ*(q^k - 1)*(q^{n - k} - 1) + 1, where q = 2. A176793

Numbers k such that the sum of the Carmichael λ functions of the divisors is a proper divisor of k. A131492

Number of 3-tuples of nonnegative integers less than p for which 3-argument multinomial coefficients support a Lucas congruence modulo p², where p is the n-th prime. A348885