Properties of the Number 82080

Eighty-Two Thousand Eighty

Basics

Value: 82079 → 82080 → 82081

Parity: even

Prime: No

Previous Prime: 82073

Next Prime: 82129

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ³ × 5 × 19

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100000010100000

Octal: 240240

Duodecimal: 3B600

Hexadecimal: 140a0

Square: 6737126400

Square Root: 286.4960732715197

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

Rectangular table, read by antidiagonals, where the g.f. of row n, R(x,n), satisfies: R(x,n) = 1 + (n+1)*x·R(x,n+1)² for n>=0. A128570

First differences of (n+1)⁵-n⁵. A68236

Row 2 of table A128570. A128572

Number of orthogonal 3 X 3 matrices over the ring Z/nZ. A264083

Numbers k such that A344753(k) is a multiple of A048250(k), and k is a multiple of A344753(k)/A048250(k). A344755

a(1)=1; thereafter, a(n+1) = 20·n³ + 10·n. A101098

a(n) = 2·n³ - 3·n² + 5. A152064

Triangle T(n,t) read by rows: the number of n X n {0,1} matrices with trace t where each row sum and each column sum is 3. A284990

Irregular triangle read by rows: row n gives scaled coefficients of the chromatic polynomial corresponding to colorings of the n-hypercube graph up to automorphism, highest powers first, 0 <= k <= 2ⁿ. A334358

The fourth row of the ED2 array A167560. A167561