Properties of the Number 21814

Twenty-One Thousand Eight Hundred Fourteen

Basics

Value: 21813 → 21814 → 21815

Parity: even

Prime: No

Previous Prime: 21803

Next Prime: 21817

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 839

Divisors: 1, 2, 13, 26, 839, 1678, 10907, 21814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010100110110

Octal: 52466

Duodecimal: 1075A

Hexadecimal: 5536

Square: 475850596

Square Root: 147.69563297538625

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

Let r, s, t be three permutations of the set {1,2,3,..,n}; a(n) = value of ∑_i=1..n r(i)*s(i)*t(i), with r={1,2,3,..,n}; s={n,n-1,..,1} and t={n,n-2,n-4,...,1,...,n-3,n-1}. A70893

T(n,k)=1/128 the number of (n+2)X(k+2) binary arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace. A185866

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the lower median minus the minimum of every 2X2 subblock. A236610

Let f(n) = exp(π*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10³. A127028

a(n) = 839·n. A135639

Sum of dimension exponents of supercharacter of unipotent upper triangular matrices. A200580

Expansion of (1+x+x²)/((1+x²)*(1+x)⁴*(1-x)⁵). A82290

Numbers for which the cube of the sum of the digits is equal to the square of the product of their digits. A241846

G.f. satisfies A(x) = (1 + x)³ + x·A(x)⁴. A366699

1/128 the number of (n+2) X 3 binary arrays with no 3 X 3 subblock trace equal to any horizontal or vertical neighbor 3 X 3 subblock trace. A185858