Properties of the Number 21704

Twenty-One Thousand Seven Hundred Four

Basics

Value: 21703 → 21704 → 21705

Parity: even

Prime: No

Previous Prime: 21701

Next Prime: 21713

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 2713

Divisors: 1, 2, 4, 8, 2713, 5426, 10852, 21704

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101010011001000

Octal: 52310

Duodecimal: 10688

Hexadecimal: 54c8

Square: 471063616

Square Root: 147.32277488562318

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

Real part of absolute Gaussian perfect numbers, in order of increasing magnitude. A102531

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁹)). A288344

Cluster series for bond percolation problem on honeycomb. A3199

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1)², where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A296253

Number of n X 6 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero. A304131

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 73. A31571

Symmetrical triangle sequence from polynomials: q(x,n)=-((-1)ⁿ*(Sum[(k + 1)ⁿ*x^k/k², {k, 1, Infinity}] - PolyLog[2, x])*(x - 1)^{n - 1} + (-1)ⁿ*n *(-1 + x)^{n - 1} Log[1 - x])/x; p(x,n)=q(x,n)+xⁿ*q(1/x,n). A154991

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 6 king-move adjacent elements, with upper left element zero. A304133

Expansion of 1/((1-x)(1-3x)(1-9x)(1-12x)). A21704