Properties of the Number 12779

Twelve Thousand Seven Hundred Seventy-Nine

Basics

Value: 12778 → 12779 → 12780

Parity: odd

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 13 × 983

Divisors: 1, 13, 983, 12779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111101011

Octal: 30753

Duodecimal: 748B

Hexadecimal: 31eb

Square: 163302841

Square Root: 113.04423912787418

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 whose sum of prime factors is equal to their product of prime indices. A331384

a(0) = 0, a(1) = a(2) = 1, a(3) = 2, a(4) = 4, for n>3: a(n+1) = SORT[ a(n) + a(n-1) + a(n-2) + a(n-3) + a(n-4)], where SORT places digits in ascending order and deletes 0's. A108565

G.f. A(x) satisfies A(A(A(x))) = B(x) (3rd self-COMPOSE of A) such that the coefficients of B(x) consist only of numbers {1,2,3}, with B(0) = 0. A112107

Expansion of 1/(x¹⁰*p(1/x)), where p(x) = x¹¹ + x¹⁰ - 11·x⁹ - 11·x⁸ + 42·x⁷ + 40·x⁶ - 66·x⁵ - 54·x⁴ + 42·x³ + 24·x² - 8·x - 1 is a Salem polynomial. A143478

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254906

a(1) = 1; for n>1, a(n) = smallest number > a(n-1) such that the pairwise differences of elements are distinct, and for 1<m<n, a(m) does not divide a(n). A256062

Discriminants of imaginary quadratic fields with class number 38 (negated). A351676

Expansion of e.g.f.: sech(sec(x)*log(x+1))=1-1/2!*x²+3/3!*x³-18/4!*x⁴+60/5!*x⁵... A12779

Number of nX2 1..7 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order. A166780