Properties of the Number 13259

Thirteen Thousand Two Hundred Fifty-Nine

Basics

Value: 13258 → 13259 → 13260

Parity: odd

Prime: Yes

Previous Prime: 13249

Next Prime: 13267

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 13259

Divisors: 1, 13259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111001011

Octal: 31713

Duodecimal: 780B

Hexadecimal: 33cb

Square: 175801081

Square Root: 115.14773119779652

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 p whose period of reciprocal equals (p-1)/7. A56212

Palindromic primes in base 8. A29976

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to value 5-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order. A233147

Primes p such that p1 = ceiling(p/2) + p is prime and p2 = floor(p1/2) + p1 is prime. A158714

Primes that are the first in a run of exactly 4 emirps. A346024

Primes p such that there is no Carmichael number pqr, p<q<r q, r primes. A51663

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with the (lower) median of each row and column nondecreasing. A237738

Expansion of (1 + x)/(1 - x² - 2·x⁵). A237714

Primes p such that p-1 is squarefree and all prime divisors of p-1 other than 11 are also in the sequence. A267504

Primes that remain prime through 3 iterations of function f(x) = 5x + 6. A23285