Properties of the Number 91993

Ninety-One Thousand Nine Hundred Ninety-Three

Basics

Value: 91992 → 91993 → 91994

Parity: odd

Prime: No

Previous Prime: 91969

Next Prime: 91997

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 11 × 8363

Divisors: 1, 11, 8363, 91993

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110011101011001

Octal: 263531

Duodecimal: 452A1

Hexadecimal: 16759

Square: 8462712049

Square Root: 303.3034783842744

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 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A231523

Number of 6-element intersecting families of an n-element set. A51183

Twice the total area of all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (h,v) with h in {1..max(1,y)} and v in {-1,0,1}. A337863

a(n) = exp(-1) * ∑_k>=0 (k*(k - n))ⁿ / k!. A340823

Number of nX3 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A231518

Number of 7Xn 0..1 arrays with no element less than a strict majority of its horizontal, diagonal and antidiagonal neighbors. A231529

Numerator of I(n) = Integral_{x=0 to 1/3} (1+x²)ⁿ dx. A91993