Properties of the Number 82800

Eighty-Two Thousand Eight Hundred

Basics

Value: 82799 → 82800 → 82801

Parity: even

Prime: No

Previous Prime: 82799

Next Prime: 82811

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 5 ² × 23

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100001101110000

Octal: 241560

Duodecimal: 3BB00

Hexadecimal: 14370

Square: 6855840000

Square Root: 287.74989139876317

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) = n²*(n² - 1)/4. A6011

Total height of rooted trees with n labeled nodes. A1864

Generalized Stirling2 array (5,2). A91534

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237332

a(n) = 4·3*2·1 - 8·7*6·5 + 12·11·10·9 - 16·15·14·13 + ... - (up to the n-th term). A319887

Numbers k such that 2k-1 divides 2^k-1. A81856

Number of ways to choose a strict partition of each part of a strict composition of n. A336343

Expansion of e.g.f. 1 / (1 - 5·log(1 + x))^3/5. A365602

Square array T(n,k), n>=0, k>=0, read by antidiagonals, where T(n,k) is the constant term in the expansion of ((∑_j=-n..n x^j) * (∑_j=-n..n y^j) - (∑_j=-n+1..n-1 x^j) * (∑_j=-n+1..n-1 y^j))^k. A329074

Numbers with prime factorization pq^2r^2s⁴. A190319