Properties of the Number 2812

Two Thousand Eight Hundred Twelve

Basics

Value: 2811 → 2812 → 2813

Parity: even

Prime: No

Previous Prime: 2803

Next Prime: 2819

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 19 × 37

Divisors: 1, 2, 4, 19, 37, 38, 74, 76, 148, 703

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101011111100

Octal: 5374

Duodecimal: 1764

Hexadecimal: afc

Square: 7907344

Square Root: 53.028294334251406

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

4 times triangular numbers: a(n) = 2·n*(n+1). A46092

Coordination sequence for 3D uniform tiling formed by stacking parallel layers of the 3.6.3.6 2D tiling (cf. A008579). A299256

Greatest number of multisets that can be obtained by choosing a divisor of each part of an integer partition of n. A370808

4 times hexagonal numbers: a(n) = 4·n*(2·n-1). A85250

Cancellation factor in reducing ∑_k=0...n 1/k! to lowest terms. A93101

Numbers m such that there are precisely 11 groups of order m. A249554

Numbers k such that φ(k) is a perfect biquadrate. A78164

Number A(n,k) of inequivalent n X n matrices with entries from [k], where equivalence means permutations of rows or columns or the symbol set; square array A(n,k), n>=0, k>=0, read by antidiagonals. A242095

T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with every 3 X 3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254260

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250942