Properties of the Number 13253

Thirteen Thousand Two Hundred Fifty-Three

Basics

Value: 13252 → 13253 → 13254

Parity: odd

Prime: No

Previous Prime: 13249

Next Prime: 13259

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 29 × 457

Divisors: 1, 29, 457, 13253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111000101

Octal: 31705

Duodecimal: 7805

Hexadecimal: 33c5

Square: 175642009

Square Root: 115.12167476196652

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

Bases b where exactly seven primes p with p < b exist such that p is a base-b Wieferich prime. A325883

Sequence A001033 gives the numbers n such that the sum of the squares of n consecutive odd numbers x² + (x+2)² + ... +(x+2n-2)² = k² for some integer k. For each n, this sequence gives the least value of k. A56132

Positive numbers y such that y² is of the form x²+(x+457)² with integer x. A160580

Last term where no prime sums occur in A161190 in a 4-diagonal set of 24 terms. A161193

Number of 4 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally. A188555

0-sequence of reduction of (3n-2) by x² -> x+1. A192311

Total number of nested arcs in the set partitions of n. A200673

Coordination sequence for σ-CrFe, Position Xc. A9961

Numbers n such that σ(n)² - φ(n)² is a perfect square. A57654

Number of distinct Cunningham chains of first kind whose initial prime (cf. A059453) <= 2ⁿ. A59690