Properties of the Number 82980

Eighty-Two Thousand Nine Hundred Eighty

Basics

Value: 82979 → 82980 → 82981

Parity: even

Prime: No

Previous Prime: 82963

Next Prime: 82981

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 461

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010000100100

Octal: 242044

Duodecimal: 40030

Hexadecimal: 14424

Square: 6885680400

Square Root: 288.0624932197873

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 permutations of an n-sequence discordant with three given permutations (see reference) in n-2 places. A388

Expansion of ∏_k>=1 1/(1 - (2^k + 1) * x^k). A322199

a(n) = 256·n² + 2·n. A158230

a(n) = 1296·n² + 36. A158739

Triangle read by rows: Coefficients of the polynomials L(n, x) * EZ(n, x), where L denote the unsigned Lah polynomials and EZ the Eulerian zig-zag polynomials A205497. A373426

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16. A31694

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,49. A64261

L.g.f.: log( ∏_n>=1 1/(1 - (2ⁿ+1)*xⁿ) ). A322209

Rearrangement of triangular numbers such that the sum of two consecutive terms is a palindrome. A82980