Properties of the Number -78726

Seventy-Eight Thousand Seven Hundred Twenty-Six

Basics

Value: -78727 → -78726 → -78725

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13121

Divisors: 1, 2, 3, 6, 13121, 26242, 39363, 78726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10011001110000110

Octal: -231606

Duodecimal: -39686

Hexadecimal: -13386

Square: 6197783076

Square Root: 280.58153895080125

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

Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of the consecutive pattern 1324; triangle T(n,k), n>=0, 0<=k<=max(0,floor(n/2-1)), read by rows. A264173

a(n) = 3·a(n-1) - a(n-2) - 2·a(n-3) for n > 2, a(0)=1, a(1)=4, a(2)=10. A316528

Number of permutations of [n] with exactly one occurrence of the consecutive pattern 1324. A264174

Number of reduced words of length n in Coxeter group on 4 generators S_i with relations (S_i)² = (S_i S_j)¹⁰ = I. A165756

Number of (1+1) X (n+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250798