Properties of the Number 21364

Twenty-One Thousand Three Hundred Sixty-Four

Basics

Value: 21363 → 21364 → 21365

Parity: even

Prime: No

Previous Prime: 21347

Next Prime: 21377

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 ² × 109

Divisors: 1, 2, 4, 7, 14, 28, 49, 98, 109, 196

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001101110100

Octal: 51564

Duodecimal: 10444

Hexadecimal: 5374

Square: 456420496

Square Root: 146.1642911247477

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

T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and no two neighbors summing to zero. A199832

Start with a single triangle; at n-th generation add a triangle at each vertex, allowing triangles to overlap; sequence gives total population of triangles at n-th generation. A61777

a(n) is the number of integers k in range [2ⁿ, (2ⁿ⁺¹)-1] such that all terms in finite sequence [k, floor(k/2), floor(k/4), floor(k/8), ..., 1] are squarefree. A293230

Number of integer partitions that are the first sums of some integer partition of n > 0. A390429

Numbers that are the sum of five fourth powers in three or more ways. A344243

Numbers that are the sum of five fourth powers in exactly three ways. A344244

Number n such that the sum of its proper evil divisors (A001969) equals n. A230587

Column 0 of triangle A105542, which equals the matrix square of triangle A105540. A105543

Number of self-avoiding walks on a honeycomb lattice with a one-dimensional impenetrable boundary. A118355

a(n) = 109·n². A174339