Properties of the Number 12783

Twelve Thousand Seven Hundred Eighty-Three

Basics

Value: 12782 → 12783 → 12784

Parity: odd

Prime: No

Previous Prime: 12781

Next Prime: 12791

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 4261

Divisors: 1, 3, 4261, 12783

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000111101111

Octal: 30757

Duodecimal: 7493

Hexadecimal: 31ef

Square: 163405089

Square Root: 113.06192993222786

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 partitions of n with rank 1 (the rank of a partition is the largest part minus the number of parts). A101198

T(n,k)=Number of nXk 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor. A203277

G.f.: A(x) = exp( ∑_n>=1 (2ⁿ - 1)ⁿ * xⁿ/n ), a power series in·with integer coefficients. A155202

Odd numbers which are factored to the same set of primes in Z as to the irreducible polynomials in GF(2)[X]; odd terms of A235036. A235039

Number of days in n years (n=4 is the first leap year). A33171

Numerators of continued fraction convergents to sqrt(958). A42854

A transform of the central binomial coefficients A001405. A134184

Number of nX2 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor. A203271

Number of nX4 0..5 arrays with every nonzero element less than or equal to some NW, E or S neighbor. A203273

Number of 0..n arrays of length 5 with each element differing from at least one neighbor by 1 or less. A221597