Properties of the Number 52413

Fifty-Two Thousand Four Hundred Thirteen

Basics

Value: 52412 → 52413 → 52414

Parity: odd

Prime: No

Previous Prime: 52391

Next Prime: 52433

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17471

Divisors: 1, 3, 17471, 52413

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110010111101

Octal: 146275

Duodecimal: 263B9

Hexadecimal: ccbd

Square: 2747122569

Square Root: 228.9388564660879

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

Each permutation in the list A060117 converted to Site Swap notation, with "zero throws" (fixed elements) replaced with n, the length of siteswap. A60495

Becomes prime after exactly 8 iterations of f(x) = sum of prime factors of x. A47827

a(n) = binomial(3·n,n)/(2·n+1) (enumerates ternary trees and also noncrossing trees). A1764

Double factorials n!!: a(n) = n·a(n-2) for n > 1, a(0) = a(1) = 1. A6882

Hertzsprung's problem: ways to arrange n non-attacking kings on an n X n board, with 1 in each row and column. Also number of permutations of length n without rising or falling successions. A2464

Number of permutations avoiding the consecutive pattern 35241. A202236

Numbers without 5 as a digit. A52413

Number of all trees of weight n, where nodes have positive integer weights and the sum of the weights of the children of a node is equal to the weight of the node. A118376

Number T(n,k) of defective (binary) heaps on n elements where k ancestor-successor pairs do not have the correct order; triangle T(n,k), n >= 0, 0 <= k <= A061168(n), read by rows. A306393

Number of king permutations on n elements not beginning with the smallest element. A382644