Properties of the Number 18713

Eighteen Thousand Seven Hundred Thirteen

Basics

Value: 18712 → 18713 → 18714

Parity: odd

Prime: Yes

Previous Prime: 18701

Next Prime: 18719

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 18713

Divisors: 1, 18713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100011001

Octal: 44431

Duodecimal: A9B5

Hexadecimal: 4919

Square: 350176369

Square Root: 136.79546776117988

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

a(n) is the number of subsets of {1,...,n} containing no solutions to x+y=z with·and y distinct (one version of "sum-free subsets"). A85489

a(n) = the smallest prime prime(k) such that prime(k+j) - prime(k+j-1) = prime(n+k+1-j) - prime(n+k-j) for all j with 1 <= j <= n. A175309

Irregular primes with irregularity index three. A60975

Smallest prime starting a (nonsingular) symmetric n-tuplet of the shortest span (=A266511(n)). A266512

Primes of the form k² + prime(k). A184935

Smallest of three consecutive primes whose average is a triangular number. A226150

Number of odd-length integer partitions of n with a unique mode. A363726

Number of 6 X 6 binary matrices with n ones, with no zero rows or columns, up to row and column permutation. A56037

Smallest prime starting a symmetric n-tuple of consecutive primes of the smallest span (=A266676(n)). A266583

Prime(n) and prime(n+2) use the same digits. A69794