Properties of the Number 68006

Sixty-Eight Thousand Six

Basics

Value: 68005 → 68006 → 68007

Parity: even

Prime: No

Previous Prime: 67993

Next Prime: 68023

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 37 × 919

Divisors: 1, 2, 37, 74, 919, 1838, 34003, 68006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

7925 Try Today's Challenge

Representations

Binary: 10000100110100110

Octal: 204646

Duodecimal: 33432

Hexadecimal: 109a6

Square: 4624816036

Square Root: 260.77960042917465

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 X k arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221378

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192970

Number of n X 3 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221375

Number of n X 4 arrays of occupancy after each element stays put or moves to some horizontal, vertical or antidiagonal neighbor, with no occupancy greater than 2. A221376

G.f. A(x) satisfies: ∑_n>=0 ( (1+x)ⁿ + 1/A(x) )ⁿ / 3ⁿ⁺¹ = 1. A319465

Number of partitions of n into distinct partition numbers. A68006