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Properties of the Number 12773

Twelve Thousand Seven Hundred Seventy-Three

Basics

Value: 12772 → 12773 → 12774

Parity: odd

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 53 × 241

Divisors: 1, 53, 241, 12773

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 11000111100101

Octal: 30745

Duodecimal: 7485

Hexadecimal: 31e5

Square: 163149529

Square Root: 113.01769772916099

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 k such that (8·10k + 49)/3 is prime. A270890
Numbers that are the sum of nine fourth powers in nine or more ways. A345593
Numbers that are the sum of nine fourth powers in exactly nine ways. A345851
Numbers m such that Stern polynomial B(m,x) has no irreducible polynomial factors that themselves are Stern polynomials. The initial a(1) = 1 is included by convention. A389918
Numbers n such that the sum of the prime factors of n equals the product of the digits of n. A67173
Numbers n where τ(n) and n-τ(n) are perfect squares, with τ(n) the number of divisors of n (A000005). A245197
Irregular triangular array: row n gives numbers D, each being the discriminant of the minimal polynomial of a quadratic irrational represented by a continued fraction with period an n-tuple of 1s and 3s. A246921
Irregular triangular array: every periodic simple continued fraction CF represents a quadratic irrational (c + f·sqrt(d))/b, where b,c,f,d are integers and d is squarefree. Row n of this array shows the distinct values of d as CF ranges through the periodic continued fractions having period an n-tuple of 1s and 3s. A246922
Multiplicity of trivial character in Vn, where V = Sum Vn is the graded module for the Monster simple group. A14810
The sequence e when b=[ 1,1,0,1,1,... ]. A42955