Properties of the Number 20306

Twenty Thousand Three Hundred Six

Basics

Value: 20305 → 20306 → 20307

Parity: even

Prime: No

Previous Prime: 20297

Next Prime: 20323

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 13 × 71

Divisors: 1, 2, 11, 13, 22, 26, 71, 142, 143, 286

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111101010010

Octal: 47522

Duodecimal: B902

Hexadecimal: 4f52

Square: 412333636

Square Root: 142.49912280431764

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

Triangle of Gaussian binomial coefficients [ n,k ] for q = 5. A22169

Number of sublattices of index n in generic 4-dimensional lattice. A38991

a(n) = Z(S_m; σ[1](n), σ[2](n),..., σ[m](n)) where Z(S_m; x₁,x₂,...,x_m) is the cycle index of the symmetric group S_m and σ[k](n) is the sum of k-th powers of divisors of n; m=3. A68020

a(n) = 25·n² + 25·n + 6. A177059

a(n) = ∑_k=3..n binomial(k-1,2) * floor(n/k). A366970

Deficient oblong numbers. A77804

Triangle T(n, k, q) = ((1-q)/(1-q^k))*c(n-1, q)*c(n, q)/(c(k-1,q)²*c(n-k,q)*c(n-k+1, q)), where c(n, q) = ∏_j=1..n (1-q^j) and q = 5, read by rows. A172302

Number of compositions of n such that the number of parts and the greatest part are coprime. A199886

Numbers with digit sum 11 that are multiples of 11. A283742

Irregular triangle read by rows: T(n, k) is the q-multinomial coefficient defined by the k-th partition of n in Abramowitz-Stegun order, evaluated at q = 5. A347488