Properties of the Number 13679

Thirteen Thousand Six Hundred Seventy-Nine

Basics

Value: 13678 → 13679 → 13680

Parity: odd

Prime: Yes

Previous Prime: 13669

Next Prime: 13681

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13679

Divisors: 1, 13679

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101101111

Octal: 32557

Duodecimal: 7ABB

Hexadecimal: 356f

Square: 187115041

Square Root: 116.957257149781

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

Primeval numbers: numbers that set a record for the number of distinct primes that can be obtained by permuting some subset of their digits. A72857

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=[2,6,4]; short d-string notation of pattern = [264]. A78848

Final prime of first member of A019518 that is divisible by 11ⁿ. A185659

Primes p such that A001175(p) = (p-1)/7. A308792

Primes p such that A001177(p) = (p-1)/7. A308800

The largest n-digit primeval number A072857. A134596

Increasing gaps among twin primes: the smallest prime of the second twin pair. A36062

Numbers k such that k⁴ = x³ + y² has an integer solution. A96741

Numbers n such that primorial(n)/2 + 64 is prime. A139447

A variant of primeval numbers A072857 where primes are counted with repetition as in A075053, not as in A039993. A239196