Properties of the Number 82000

Eighty-Two Thousand

Basics

Value: 81999 → 82000 → 82001

Parity: even

Prime: No

Previous Prime: 81973

Next Prime: 82003

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5 ³ × 41

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100000001010000

Octal: 240120

Duodecimal: 3B554

Hexadecimal: 14050

Square: 6724000000

Square Root: 286.35642126552705

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(1)=1, a(n) = n·a(floor(n/2)). A98844

Numbers that can be written in bases 2, 3, 4, and 5 using only the digits 0 and 1. A146025

Smallest number > 1 whose representation in all bases up to n consists only of 0's and 1's. A258107

Numbers containing only 1's and 0's in their base-2, base-3, and base-4 representations. A258981

Numbers that define integer Heronian triangles [a(n), prime(a(n)), A068968(n)] with area A068969(n). A68967

a(n) = floor(p/2) * floor(floor(p/2)/2) * floor(floor(floor(p/2)/2)/2) * ... * 1, where p=prime(n). A163467

Number of Dyck paths of semilength n such that each positive level has exactly three peaks. A288319

Numbers n such that φ(n)/n = 16/41. A176598

Number of 6-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187380

Numbers which have only digits 0 and 1 in bases 3 and 5. A268337