Properties of the Number 21344

Twenty-One Thousand Three Hundred Forty-Four

Basics

Value: 21343 → 21344 → 21345

Parity: even

Prime: No

Previous Prime: 21341

Next Prime: 21347

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 23 × 29

Divisors: 1, 2, 4, 8, 16, 23, 29, 32, 46, 58

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001101100000

Octal: 51540

Duodecimal: 10428

Hexadecimal: 5360

Square: 455566336

Square Root: 146.0958589419974

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 nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196300

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1 (constant-stress 1 X 1 tilings). A234458

Self-convolution of (1, p(1), p(2), ...). A23626

Number of (directed) Hamiltonian paths in the 3 X n knight graph. A118067

a(n) = 8·a(n-1) - 6·a(n-2), with a(0)=0, a(1)=1. A190978

Expansion of x*(1+7·x-6·x³)/(1-8·x²+6·x⁴). A249310

Triangle of coefficients of polynomials v(n,x) jointly generated with A209141; see the Formula section. A209142

Triangle of coefficients of polynomials v(n,x) jointly generated with A209745; see the Formula section. A209746

a(n) = (3 + 2·n - 3·n² + 4·n³ - 3*((-1 + n) mod 2))/6. A304487

a(n) is the number of cubic polynomials with coefficients in {-n, ..., n}, positive leading coefficient, and having three rational roots. A392944