Properties of the Number 82224

Eighty-Two Thousand Two Hundred Twenty-Four

Basics

Value: 82223 → 82224 → 82225

Parity: even

Prime: No

Previous Prime: 82223

Next Prime: 82231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 571

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100000100110000

Octal: 240460

Duodecimal: 3B700

Hexadecimal: 14130

Square: 6760786176

Square Root: 286.7472754883645

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) where a(n) * a(n-5) * a(n-10) = a(n-1) * a(n-6) * a(n-8) + a(n-2) * a(n-4) * a(n-9), with a(1) = ... = a(10) = 1. A205303

a(n) is the number of pairs of integer quadruples (b₁, b₂, b₃, b₄) and (c₁, c₂, c₃, c₄) satisfying 1 <= b₁ < b₂ < b₃ < b₄ < n, 1 <= c₁ < c₂ < c₃ < c₄ < n, b_i ≠ c_j for all i,j = 1,2,3,4 and ∏_i=1..4 cos(2*π*b_i/n) = ∏_i=1..4 cos(2*π*c_i/n). A63780

Number of slanted 3 X n (i=1..3) X (j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner. A165386

Number of (n+1)X8 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors. A205071

a(n) = n! * ∑_k=1..n A008836(k)/k. A281510

a(n) = n! * ∑_k=0..n (2·k)! / (k!)³. A349513

Number of slanted nX8 (i=1..n)X(j=i..8+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner. A165377

Square array read by antidiagonals alternately upwards and downwards. A(i, j) is the least positive integer not occurring earlier in the sequence such that (1) if j > 1, then the j-th partial sum of the i-th row is prime; and (2) if i > 1, then the i-th partial sum of the j-th column is composite (with A(1,1) = 1). A82224