Properties of the Number 13681

Thirteen Thousand Six Hundred Eighty-One

Basics

Value: 13680 → 13681 → 13682

Parity: odd

Prime: Yes

Previous Prime: 13679

Next Prime: 13687

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13681

Divisors: 1, 13681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101110001

Octal: 32561

Duodecimal: 7B01

Hexadecimal: 3571

Square: 187169761

Square Root: 116.96580696938743

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

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 4,2]; short d-string notation of pattern = [642]. A78855

Mountain primes. A134951

First member of a prime quadruple in a 2p-1 progression. A57327

Primes p such that (p+1)/2 and (p+2)/3 are also primes. A36570

Numbers k such that Fibonacci(prime(k)) is prime. A119984

Centered triangular numbers that are prime. A125602

Number of nX2 0..1 arrays with every element unequal to 0, 1, 3 or 5 king-move adjacent elements, with upper left element zero. A303963

Primes p such that A001177(p) = (p-1)/6. A308799

a(n) = n! * ∑_{k=0..floor(n/3)} n^k * binomial(n-2·k,k)/(n-2·k)!. A362301

Primes p such that p + 6, p + 10 and p + 16 are also primes. A382810