Properties of the Number 52431

Fifty-Two Thousand Four Hundred Thirty-One

Basics

Value: 52430 → 52431 → 52432

Parity: odd

Prime: No

Previous Prime: 52391

Next Prime: 52433

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17477

Divisors: 1, 3, 17477, 52431

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110011001111

Octal: 146317

Duodecimal: 26413

Hexadecimal: cccf

Square: 2749009761

Square Root: 228.97816489787843

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

Number of sets of distinct positive integers whose arithmetic mean is an integer, the largest integer of the set being n. A82550

a(n) = (4·n³ - 12·n² + 14·n + 3)/3. A161703

L.g.f.: exp(∑_n>=1 a(n)*xⁿ/n) = 1 + x·exp(∑_n>=1 Lucas(n)*a(n)*xⁿ/n) where Lucas(n) = A000204(n). A158258

T(n,k) = ∑_j=0..k (k-j)ⁿ * binomial(n,j). A215080

Numbers n such that 9·10ⁿ + 8·R_n - 7 is prime, where R_n = 11...1 is the repunit (A002275) of length n. A103107

Number of permutations of 1..n containing the relative rank sequence { 52431 } at any spacing. A158437

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

Central binomial coefficient - 1. A14495

Eulerian numbers (Euler's triangle: column k=4 of A008292, column k=3 of A173018). A498