Properties of the Number 2562

Two Thousand Five Hundred Sixty-Two

Basics

Value: 2561 → 2562 → 2563

Parity: even

Prime: No

Previous Prime: 2557

Next Prime: 2579

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 61

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 61, 122

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000000010

Octal: 5002

Duodecimal: 1596

Hexadecimal: a02

Square: 6563844

Square Root: 50.61620293937506

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) = sigma₂(n): sum of squares of divisors of n. A1157

Coordination sequence T1 for Zeolite Code LTA and ρ. A8137

Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n² + 2. Also coordination sequence for f.c.c. or A₃ or D₃ lattice. A5901

Sum of 12 nonzero 8th powers. A3390

Square array T(n,k) (n >= 1, k >= 0) read by antidiagonals: coordination sequence for root lattice A_n. A103881

Numbers that are the sum of 7 positive 9th powers. A3396

Zero together with the numbers which can be written as a sum of distinct odd powers of 2. A62880

Generalized 30-gonal (or triacontagonal) numbers: m*(14·m - 13) with m = 0, +1, -1, +2, -2, +3, -3, ... A316729

Expansion of 1 + ∑_k>0 x^k^2/((1-x)(1-x²)...(1-x^2k)). A122129

Numbers n such that (5+n!)/5 is prime. A139058