Properties of the Number 80282

Eighty Thousand Two Hundred Eighty-Two

Basics

Value: 80281 → 80282 → 80283

Parity: even

Prime: No

Previous Prime: 80279

Next Prime: 80287

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 137 × 293

Divisors: 1, 2, 137, 274, 293, 586, 40141, 80282

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011100110011010

Octal: 234632

Duodecimal: 3A562

Hexadecimal: 1399a

Square: 6445199524

Square Root: 283.3407842157567

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

T(n,k)=Number of nXk array permutations with each element moving zero or one space horizontally or diagonally. A189449

a(n) = 2·F(n-1) + 2·F(n-3) + 10·F(n-5) + 9·F(n-8) where n >= 8 and F = A000045. A280932

G.f.: A(x) = ( G(x)⁷ - G(x⁷) - 7·x*((1-x⁶)/(1-x))/(1-x⁷) )/(49·x²) where G(x) is the g.f. of A110635. A111584

Number of n X 4 array permutations with each element moving zero or one space horizontally or diagonally. A189444

Number of 5Xn array permutations with each element moving zero or one space horizontally or diagonally. A189453

Exponential self-convolution of A232690. A333044

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252136

Numbers n such that log(n) + log₁₀(n) is closer to its nearest integer than any value of log(k) + log₁₀(k) for 1 < = k < n. A80282

Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4. A252072

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252198