Properties of the Number -75965

Seventy-Five Thousand Nine Hundred Sixty-Five

Basics

Value: -75966 → -75965 → -75964

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 5 × 15193

Divisors: 1, 5, 15193, 75965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10010100010111101

Octal: -224275

Duodecimal: -37B65

Hexadecimal: -128bd

Square: 5770681225

Square Root: 275.6174885597792

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 (n+1)X(k+1) 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203728

T(n,k)=Number of nXk 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229402

Expansion of g/(1 - x²*g⁶), where g = 1+x·g⁴ is the g.f. of A002293. A391104

a(n) = floor((5ⁿ)/(3ⁿ + 2ⁿ)). A191696

Number of (n+1) X 2 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively. A203721

Number of n X 4 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229398

Number of nX7 0..2 arrays with top left element 0, horizontal differences mod 3 never 1, vertical differences mod 3 never -1, and antidiagonal differences never 0. A229401