Properties of the Number 20758

Twenty Thousand Seven Hundred Fifty-Eight

Basics

Value: 20757 → 20758 → 20759

Parity: even

Prime: No

Previous Prime: 20753

Next Prime: 20759

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 97 × 107

Divisors: 1, 2, 97, 107, 194, 214, 10379, 20758

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000100010110

Octal: 50426

Duodecimal: 1001A

Hexadecimal: 5116

Square: 430894564

Square Root: 144.07636863830237

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 that are the sum of 3 positive 7th powers. A3370

G.f.: ∏_k>=1 1/(1+x^k)^k. A255528

Sum of the largest parts in the partitions of n into 7 parts. A308933

a(n) = 15·n² + 6·n + 1. A80861

Expansion of 1/(x^k*(1-x-3·x^k+1)) for k=9. A143460

Numbers that are the sum of at most 3 positive 7th powers. A4865

Triangle T(n,k) read by rows, where the k-th column is the shifted self-convolution of the power function n^k, n >= 0, 0 <= k <= n. A306548

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384855. A384859

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RUT = RUB-10 R4[B4Si32O72] starting from a T4 atom. A19231

Expansion of 1/((1-6x)(1-10x)(1-12x)). A20758