Properties of the Number 13249

Thirteen Thousand Two Hundred Forty-Nine

Basics

Value: 13248 → 13249 → 13250

Parity: odd

Prime: Yes

Previous Prime: 13241

Next Prime: 13259

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13249

Divisors: 1, 13249

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111000001

Octal: 31701

Duodecimal: 7801

Hexadecimal: 33c1

Square: 175536001

Square Root: 115.10430052782563

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

Primes which are the concatenation of two squares (in decimal notation). A167535

Primes of form n² + 10000. A256838

Least prime in A031928 (lesser of 10-twins) whose distance to the next 10-twin is 6·n. A52354

Mother primes of order 11. A136070

a(n) = n³ - n² + 1. A100104

a(n) is the largest prime factor of 2ⁿ + 3ⁿ. A94474

Numbers b > 1 such that the smallest four primes, i.e., 2, 3, 5 and 7 are base-b Wieferich primes. A339533

Number of partitions of n into Lucas parts (A000032). A67593

Expansion of ∏_k>0 (1 + A004001(k)*x^k). A147869

Largest prime number p such that xⁿ + yⁿ mod p does not take all values on Z/pZ. A355920