Properties of the Number 2712

Two Thousand Seven Hundred Twelve

Basics

Value: 2711 → 2712 → 2713

Parity: even

Prime: No

Previous Prime: 2711

Next Prime: 2713

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 113

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 113, 226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010011000

Octal: 5230

Duodecimal: 16A0

Hexadecimal: a98

Square: 7354944

Square Root: 52.076866265166146

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 collinear point-triples in an n X n grid. A938

Multiples of 12 containing a 12 in their decimal representation. A121032

Array read by antidiagonals: A(n,k) is the number of binary matrices with k columns and any number of nonzero rows with n ones in every column and columns in nonincreasing lexicographic order. A330942

Triangular array T(n,k), read by rows: coefficients of strong divisibility sequence of polynomials p(1,x) = 1, p(2,x) = 3 + 2·x, p(n,x) = u·p(n-1,x) + v·p(n-2,x) for n >= 3, where u = p(2,x), v = 1 - 2·x - x². A367300

Number of strict integer partitions of n with all distinct lengths of maximal anti-runs (decreasing by more than 1). A384880

Irregular triangle T(n,k) read by rows: T(n,k) is the number of compositions of n with k descents, n>=0, 0<=k<=floor(n/3). A238344

Sum of primitive roots of n-th prime. A88144

Numbers k such that φ(x) = k has exactly 8 solutions. A60671

First differences of A000219. A191659

Number of polyominoes with n cells that tile the plane by translation. A75198