Properties of the Number 20595

Twenty Thousand Five Hundred Ninety-Five

Basics

Value: 20594 → 20595 → 20596

Parity: odd

Prime: No

Previous Prime: 20593

Next Prime: 20599

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1373

Divisors: 1, 3, 5, 15, 1373, 4119, 6865, 20595

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001110011

Octal: 50163

Duodecimal: BB03

Hexadecimal: 5073

Square: 424154025

Square Root: 143.50958156165044

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

a(n+1) = ∑_{k=0..floor(4·n/5)} a(k) * a(n-k). A30039

a(0) = 1; a(n) = ∑_k=0..n-1 binomial(k+6,6) * a(k) * a(n-1-k). A385955

Number of (w,x,y) with all terms in {0,...,n} and w <= x + y and x < y. A212981

Number of compositions (ordered partitions) of n into prime parts such that no two adjacent parts are equal (Carlitz compositions). A301428

Expansion of ∑_1<=i<=j q^i+j/( (1-qⁱ)*(1-q^j) )². A374929

Number of prime pairs below 10ⁿ having a difference of 52. A93980

Number of 4-element subsets that can be chosen from {1,2,...,4·n} having element sum 8·n+2. A204468

Triangle read by rows: T(n,k) is the number of Dyck n-paths with k large components, 0 <= k <= n/2. A97877

Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero. A188212

Expansion of g.f. 1/((1-6·x)*(1-9·x)*(1-10·x)). A20595