Properties of the Number 83980

Eighty-Three Thousand Nine Hundred Eighty

Basics

Value: 83979 → 83980 → 83981

Parity: even

Prime: No

Previous Prime: 83969

Next Prime: 83983

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 13 × 17 × 19

Divisors: 1, 2, 4, 5, 10, 13, 17, 19, 20, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000001100

Octal: 244014

Duodecimal: 40724

Hexadecimal: 1480c

Square: 7052640400

Square Root: 289.7930295918106

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 integer compositions of 2n whose half-alternating sum is 0. A357641

a(n) = ∑_i=0..2·n ∑_j=0..n-1 A026519(j, i). A26534

Expansion of (1+x²*C²)*C², where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71721

Alkane (or paraffin) numbers l(12,n). A18213

Twelfth column of Losanitsch's triangle A034851 (formatted as lower triangular matrix). A62136

One half of odd-numbered entries of even-numbered rows of Pascal's triangle A007318. A91044

Expansion of ∏_k>=1 (1 - x^k)²⁰. A10826

One half of binomial coefficients binomial(2·n-8,9). A53133

a(n) = (20·n)!*(6·n)!*n!/((12·n)!*(10·n)!*(3·n)!*(2·n)!). A295470

Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary. A5508