Properties of the Number 13859

Thirteen Thousand Eight Hundred Fifty-Nine

Basics

Value: 13858 → 13859 → 13860

Parity: odd

Prime: Yes

Previous Prime: 13841

Next Prime: 13873

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13859

Divisors: 1, 13859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000100011

Octal: 33043

Duodecimal: 802B

Hexadecimal: 3623

Square: 192071881

Square Root: 117.72425408555367

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

Number of polynomials of height n: a(1)=1, a(2)=1, a(3)=4, a(n) = 2·a(n-1) + a(n-2) + 2 for n >= 4. A5409

The Wiener index of a benzenoid consisting of a linear chain of n hexagons. A143938

Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1. A2148

Least prime in A031932 (lesser of 14-twins) whose distance to the next 14-twin is 6·n. A52356

Primes p such that τ(p-1)+τ(p+1) is larger than for any previous term. (Smallest prime sandwiched between more composite numbers.) A90481

List of different primes in Pascal-like triangles with index of asymmetry y = 1 and index of obliquity z = 0 or z = 1. A141064

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

Smallest number m such that m#/φ(m#) >= n, where m# indicates the primorial (A034386) of m and φ is Euler's totient function. A91440

Largest of 3 consecutive prime numbers such that p1·p2·p3 + d1 + d2 + 1 = average of twin prime pairs, d1 (δ) = p2 - p1, d2 (δ) = p3 - p2. A153408

Prime numbers, isolated from neighboring primes by more than 12. A137873