Properties of the Number 20622

Twenty Thousand Six Hundred Twenty-Two

Basics

Value: 20621 → 20622 → 20623

Parity: even

Prime: No

Previous Prime: 20611

Next Prime: 20627

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 491

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 491, 982

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000010001110

Octal: 50216

Duodecimal: BB26

Hexadecimal: 508e

Square: 425266884

Square Root: 143.60362112425994

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 integral solutions to the equation (x₁)³ + ... + (x_n)³ = (x₁ + ... + x_n)² with 1 <= x₁ <= ... <= x_n. A158649

G.f.: ∑_n>=0 xⁿ * ((1+x)ⁿ + sqrt(3)*i)ⁿ / (1 + sqrt(3)*i·x*(1+x)ⁿ)ⁿ⁺¹, where i² = -1. A323683

Numbers that match polynomials over {0,1} that have a factor containing -3 as a coefficient; see Comments. A208182

Dirichlet self-convolution of the integer partition numbers A000041. A323764

Numbers n such that sum of primes dividing n (with repetition) is equal to the largest prime factor of n+1. A71863

a(n) = prime(n) + n³ + n² + 4n - 1. A60822

G.f. A(x) satisfies: x = A(x) * (1 + A(x)) * (1 - 4·A(x)). A250888

a(n) = ∑_k=1..n (A000330(n) mod k²). A344711

Numbers k such that (85·10^k + 473)/9 is prime. A283513

Triangle, read by rows, defined by recurrence: T(n,k) = T(n-1,k-1) + (-1)^k * (2·k + 1) * T(n-1,k) for 0 < k < n with initial values T(n,0) = T(n,n) = 1 for n >= 0 and T(i,j) = 0 if j < 0 or j > i. A346083