Properties of the Number 12739

Twelve Thousand Seven Hundred Thirty-Nine

Basics

Value: 12738 → 12739 → 12740

Parity: odd

Prime: Yes

Previous Prime: 12721

Next Prime: 12743

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 12739

Divisors: 1, 12739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111000011

Octal: 30703

Duodecimal: 7457

Hexadecimal: 31c3

Square: 162282121

Square Root: 112.86717857729943

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

Discriminants of imaginary quadratic fields with class number 23 (negated). A46020

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

Palindromic primes in base 8. A29976

Consider all ways of writing a number as p+2m² where p is 1 or a prime and m >= 0; sequence gives numbers that are expressible in at least 2 more ways than any smaller number. A16067

5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1. A192823

Primes congruent to 11 mod 37. A142120

a(n) = prime(n)² - n. A182174

Expansion of ∏_k>=1 1/(1+x^k)^k⁴ in powers of x. A284898

a(n)=12·sum(1<=i<=j<=k<=n,i·j/k). A88941

Let F(g,p) be the frequency of g up to prime nextprime(p+1). Primes p such that F(2,p) = F(4,p) and g = 2 or 4. A274122