Properties of the Number 82500

Eighty-Two Thousand Five Hundred

Basics

Value: 82499 → 82500 → 82501

Parity: even

Prime: No

Previous Prime: 82499

Next Prime: 82507

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ⁴ × 11

Divisors: 1, 2, 3, 4, 5, 6, 10, 11, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001001000100

Octal: 241104

Duodecimal: 3B8B0

Hexadecimal: 14244

Square: 6806250000

Square Root: 287.22813232690146

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

Partial sums of Catalan numbers (A000108). A14137

Numbers m such that the largest digit in the decimal expansion of 1/m is 2. A341383

Position of A075165(n+1) in A014486. A75161

Fixed points of the permutation A125987/A125988. A126298

Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having leftmost valley at altitude k (if path has no valleys, then this altitude is considered to be 0). A97607

Position of A106455(n+1) in A014486. A106451

a(n) = ∑_{k=0..floor(n/2)} Catalan(k). A110199

a(n) = 2662·n - 22. A157609

Triangle where the g.f. of row n is: ∑_k=0..n²-n+1 T(n,k)*y^k = (2*(1+y)ⁿ - 1) * ((1+y)ⁿ - 1)^n-1 / y^n-1, as read by rows. A220265

Bisection of A014137. A99975