Properties of the Number 5254

Five Thousand Two Hundred Fifty-Four

Basics

Value: 5253 → 5254 → 5255

Parity: even

Prime: No

Previous Prime: 5237

Next Prime: 5261

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 37 × 71

Divisors: 1, 2, 37, 71, 74, 142, 2627, 5254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010000110

Octal: 12206

Duodecimal: 305A

Hexadecimal: 1486

Square: 27604516

Square Root: 72.48448109768049

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 compositions of n if all summand runs are kept together. A274174

a(n) = (9·n² + 3·n + 2)/2. A38764

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1. A113748

Antidiagonal sums of table A128570. A128579

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00001011 00010101 or 01010101. A261380

Index sequence to A089840: positions of bijections that preserve A127302 (the non-oriented form of binary trees) and whose behavior does not depend on whether there are internal or terminal nodes (leaves) in the neighborhood of any vertex. A153830

Number of permutations which are the union of an increasing and a decreasing subsequence. A29759

a(n) = coefficient of xⁿ*yⁿ in ∏_n>=1 (1 - (xⁿ + yⁿ)). A322213

Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime. A92230

a(n) = prime(n)*(prime(n+1) + 1). A123134