Properties of the Number 12772

Twelve Thousand Seven Hundred Seventy-Two

Basics

Value: 12771 → 12772 → 12773

Parity: even

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 31 × 103

Divisors: 1, 2, 4, 31, 62, 103, 124, 206, 412, 3193

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111100100

Octal: 30744

Duodecimal: 7484

Hexadecimal: 31e4

Square: 163123984

Square Root: 113.01327355669333

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

The PDO(n) function (Partitions with Designated summands in which all parts are Odd): the sum of products of multiplicities of parts in all partitions of n into odd parts. A102186

Number of self-avoiding walks of length n from origin in strip Z X {0,1}. A38577

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

Numerators of continued fraction convergents to sqrt(511). A41976

Consider all integer triples (i,j,k), j >= k>0, with i³=binomial(j+2,3)+binomial(k+2,3), ordered by increasing i; sequence gives j values. A54209

Nonsquares in A277699 listed in the order of their appearance. A277805

Consider a square drawn on the perimeter of a square lattice with side length n. a(n) is the number of regions inside the square after drawing unit circles centered at each interior lattice point of the square. A339623

Number of edges in a graph of n adjacent rectangles in a row with all possible diagonals drawn, as in A306302, but without the rectangles' edges which are perpendicular to the row. A369177

Expansion of q / (χ(-q) * χ(-q³) * χ(-q⁵) * χ(-q¹⁵)) in powers of q where χ() is a Ramanujan θ function. A123632

Number of nonempty subsets of {1..n} whose elements have a square average. A369391