Properties of the Number 2862

Two Thousand Eight Hundred Sixty-Two

Basics

Value: 2861 → 2862 → 2863

Parity: even

Prime: No

Previous Prime: 2861

Next Prime: 2879

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 53

Divisors: 1, 2, 3, 6, 9, 18, 27, 53, 54, 106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101100101110

Octal: 5456

Duodecimal: 17A6

Hexadecimal: b2e

Square: 8191044

Square Root: 53.49766350038102

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

a(n) = 2·n*(2·n-1). A2939

Number of compositions of n such that every distinct consecutive subsequence has a different sum. A325676

Smallest magic constant for any n X n magic square made from consecutive primes, or 0 if no such magic square exists. A73520

Irregular triangular array T read by rows: T(0,0) = 1, T(0,1) = T(0,2) = 0; T(1,0) = T(1,1) = T(1,2) = 1, T(1,3) = 0; for n >= 2, T(n,0) = 1, T(n,1) = T(n-1,0) + T(n-1,1), T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 2,3,...,n+1 and T(n,n+2) = T(n-1,n) + T(n-1,n+1). A26323

Numbers whose multiset of prime factors is separable but has no alternating permutation. A345173

Triangle read by rows: T(n,d) is the number of distinct properly d-dimensional polyominoes (or polycubes) with n cells (n >= 1, d >= 0). A49430

Expansion of 1 / f(-x¹, -x⁵) in powers of·where f() is Ramanujan's two-variable θ function. A195848

Rectangular array neg(i,j,1,2) read by descending antidiagonals: pos() and neg() denote the positive part and negative part of a determinant; see Comments. A380661

Product of a prime and the following number. A36690

Array read by antidiagonals: T(n,k) is the number of k-colorings of an n X n grid, up to rotations and reflections. A343097