Properties of the Number 12774

Twelve Thousand Seven Hundred Seventy-Four

Basics

Value: 12773 → 12774 → 12775

Parity: even

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2129

Divisors: 1, 2, 3, 6, 2129, 4258, 6387, 12774

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 11000111100110

Octal: 30746

Duodecimal: 7486

Hexadecimal: 31e6

Square: 163175076

Square Root: 113.02212172844747

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

Number of ways to write the n-th prime as a sum of distinct primes. A70215

Number of n-digit numbers in a cycle (including fixed points) under the Kaprekar map A151949. A164732

Number of partitions of n into parts but with two kinds of parts of sizes 1,2,3,4 and 5. A103924

Numbers k such that τ(k) = τ(k+1) mod 691, where τ is Ramanujan's τ function A000594. A121733

Number of integer compositions of n whose leaders of strictly decreasing runs are weakly decreasing. A374765

Irregular table read by rows: T(n,k) is the number of k-gons, k>=3, in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n. A359694

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318098

Denominators of continued fraction convergents to sqrt(831). A42605

Smallest integer m such that gcd{x | sum of proper divisors of·is m} is equal to 2·n, when there are at least two such x's. A253303

Indices where the cumulative sum of sin(2k+1)^2k+1 reaches a record high value. A387706