Properties of the Number 21702

Twenty-One Thousand Seven Hundred Two

Basics

Value: 21701 → 21702 → 21703

Parity: even

Prime: No

Previous Prime: 21701

Next Prime: 21713

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3617

Divisors: 1, 2, 3, 6, 3617, 7234, 10851, 21702

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101010011000110

Octal: 52306

Duodecimal: 10686

Hexadecimal: 54c6

Square: 470976804

Square Root: 147.31598691248686

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

Numbers k such that x = 2^k-2 satisfies φ(x)+2 = φ(x+2). A50475

a(n) = A088314(n) - A000009(n). A88571

Triangle of coefficients of polynomials u(n,x) jointly generated with A209163; see the Formula section. A209162

Let F(x) = 1 + x + 4x² + 9x³ + ... = g.f. for A002835 (solid partitions restricted to two planes) and write F(x) = 1/∏_n>=1 (1-xⁿ)^a(n). A80207

a(1) = 1; thereafter a(n) = ∑_{k = 1..n} a(k/gcd(n,k)). A333613

G.f. A(x) satisfies A(x²)³/A(x⁴)³ = 1 + (A(x)/A(x⁴) - 1)². A376229

Numbers k such that prime(k) + 1, ..., prime(k + 5) + 1 have the same number of prime divisors (with multiplicity). A255193

Number of length n arrays of permutations of 0..n-1 with each element moved by -3 to 3 places and with no two consecutive increases or two consecutive decreases. A263661

a(n) = [xⁿ] E(x)ⁿ where E(x) = exp( ∑_{k >= 1} A000172(k)*x^k/k ). A362731

Number of ways to write n=x²+y (x>0, y>0) with 2·x*y-1 prime. A220272