Properties of the Number 12791

Twelve Thousand Seven Hundred Ninety-One

Basics

Value: 12790 → 12791 → 12792

Parity: odd

Prime: Yes

Previous Prime: 12781

Next Prime: 12799

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 12791

Divisors: 1, 12791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111110111

Octal: 30767

Duodecimal: 749B

Hexadecimal: 31f7

Square: 163609681

Square Root: 113.09730323929037

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

Odd primes generated recursively: a(1) = 3, a(n) = Min {p is prime; p divides Q+2}, where Q is the product of previous terms in the sequence. A125045

Mountain primes. A134951

G.f. satisfies A(x) = 1 + x·A(x)⁴*(1 + x). A365178

a(0) = 2; a(n) for n > 0 is the smallest prime greater than a(n-1) that differs from a(n-1) by a square. A73609

Number of partitions of n such that 2*(greatest part) <= (number of parts). A237752

Primes congruent to 26 mod 37. A142135

Primes of the form 2n²-9. A155702

Number of 5-tuples of different integers from [ 1,n ] with no common factors among pairs. A15698

Primes that are a concatenation of a prime and its first digit. A85414

Primes that are a sum of twin primes and their indices. A88187