Properties of the Number 73992

Seventy-Three Thousand Nine Hundred Ninety-Two

Basics

Value: 73991 → 73992 → 73993

Parity: even

Prime: No

Previous Prime: 73973

Next Prime: 73999

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 3083

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 3083, 6166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010000100001000

Octal: 220410

Duodecimal: 369A0

Hexadecimal: 12108

Square: 5474816064

Square Root: 272.0147054848322

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)=1/4 the number of arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189951

a(n) = 64·n² + 8. A158488

Expansion of ∑_k>=2 x^Fibonacci(k)/(1 - x^Fibonacci(k)) / ∏_k>=2 (1 - x^Fibonacci(k)). A281689

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 68. A31746

Number of 4-step one or two space at a time rook's tours on an n X n board summed over all starting positions. A187289

1/4 the number of arrangements of n+1 nonzero numbers x(i) in -4..4 with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189946

1/4 the number of arrangements of 7 nonzero numbers x(i) in -n..n with the sum of sign(x(i))*(|x(i)| mod x(i+1)) equal to zero. A189956

Number of strings of length n over Z₆ with trace 3 and subtrace 3. A73992

Number of (n+1)X(3+1) arrays of permutations of 0..n·4+3 with each element having directed index change -2,-2 -1,0 0,1 or 1,0. A264529