Properties of the Number 82944

Eighty-Two Thousand Nine Hundred Forty-Four

Basics

Value: 82943 → 82944 → 82945

Parity: even

Prime: No

Previous Prime: 82939

Next Prime: 82963

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ¹⁰ × 3 ⁴

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10100010000000000

Octal: 242000

Duodecimal: 40000

Hexadecimal: 14400

Square: 6879707136

Square Root: 288

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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) = solution to the "Select All, Copy, Paste" problem: Given the ability to type a single letter, or to type individual "Select All", "Copy" or "Paste" command keystrokes, what is the maximal number of letters of text that can be obtained with n keystrokes? A178715

Number of n X 2 0..1 arrays avoiding the patterns 0 1 0 or 1 0 1 in any row, column, diagonal or antidiagonal. A206981

14-almost primes (generalization of semiprimes). A69275

Triangle read by rows: coefficients T(n,k) of a binomial decomposition of 2ⁿ-1 as Sum(k=0..n)T(n,k)*binomial(n,k). A244126

Perfect powers of Achilles numbers. A383394

Number of integers up to n! relatively prime to n!. A48855

a(n) = ∏_i=0..n i!². A55209

Number of double-closed subsets of {1..n}. A308546

Smallest number with exactly 2n-1 divisors. A61283

Smallest number k such that n! + k is a square. A68869