Properties of the Number 16580

Sixteen Thousand Five Hundred Eighty

Basics

Value: 16579 → 16580 → 16581

Parity: even

Prime: No

Previous Prime: 16573

Next Prime: 16603

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 829

Divisors: 1, 2, 4, 5, 10, 20, 829, 1658, 3316, 4145

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000011000100

Octal: 40304

Duodecimal: 9718

Hexadecimal: 40c4

Square: 274896400

Square Root: 128.76334882255898

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) = 2ⁿ + n². A1580

Leyland numbers: 3, together with numbers expressible as n^k + kⁿ nontrivially, i.e., n,k > 1 (to avoid n = (n-1)¹ + 1^n-1). A76980

Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s. A385232

T(n,k) is the number of (n+1) X (k+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234690

Numbers of the form x^y + y^x, 1 < x < y. A173054

Number of binary [ n,8 ] codes of dimension <= 8 without zero columns. A34342

Base-8 palindromes that start with 4. A43024

Fibonacci sequence with initial terms 10 and 21. A185691

Number of 2-colored Dyck n-paths with up steps (U, u), down steps (D, d), and avoiding UU and DD. A212694

Number of (n+1) X (2+1) 0..6 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings). A234684