Properties of the Number 21310

Twenty-One Thousand Three Hundred Ten

Basics

Value: 21309 → 21310 → 21311

Parity: even

Prime: No

Previous Prime: 21283

Next Prime: 21313

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 2131

Divisors: 1, 2, 5, 10, 2131, 4262, 10655, 21310

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101001100111110

Octal: 51476

Duodecimal: 103BA

Hexadecimal: 533e

Square: 454116100

Square Root: 145.97945060863876

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

Number of strict partitions of 2n having an ordering of the parts in which no two neighboring parts have the same parity. A239882

Number of compositions of n if only the order of the even numbers matter. A275592

G.f. A(x) satisfies: A(x)² equals the g.f. of A110637, which consists entirely of numbers 1 through 8. A112571

Number of strings of numbers x(i=1..n) in 0..5 with sum i·x(i) equal to n·5. A184699

Number of strings of numbers x(i=1..10) in 0..n with ∑_i=1..10 i·x(i) = n·10. A184710

a(n) = ∑_k=1..n (-1)^k+1 * floor(n/(2·k-1))³. A350163

T(n,k) is the number of strings of numbers x(i=1..n) in 0..k with sum i·x(i) equal to k·n. A184703

a(n) = 15·4ⁿ + 70·2ⁿ + 35·3ⁿ + 5ⁿ⁺¹ + 6ⁿ + 126. A254467

Number of nX5 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207714

Decimal expansion of 1/306. A21310