Properties of the Number 12797

Twelve Thousand Seven Hundred Ninety-Seven

Basics

Value: 12796 → 12797 → 12798

Parity: odd

Prime: No

Previous Prime: 12791

Next Prime: 12799

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 67 × 191

Divisors: 1, 67, 191, 12797

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111111101

Octal: 30775

Duodecimal: 74A5

Hexadecimal: 31fd

Square: 163763209

Square Root: 113.1238259607586

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

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 24. A51965

Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n. A111036

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

Number of primes between n⁵ and (n+1)⁵. A62517

Denominators a(n) of Pythagorean approximations b(n)/a(n) to 5/4. A195565

Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block. A246145

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where A(n,k) = n! * k! * [xⁿ * y^k] exp(x+y) / (exp(x) + exp(y) - exp(x+y))⁴. A382674

Number of rhyme schemes (see reference for precise definition). A5003

a(n) = 8·n² - 3. A108928

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