Properties of the Number 66002

Sixty-Six Thousand Two

Basics

Value: 66001 → 66002 → 66003

Parity: even

Prime: No

Previous Prime: 65993

Next Prime: 66029

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 61 × 541

Divisors: 1, 2, 61, 122, 541, 1082, 33001, 66002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000111010010

Octal: 200722

Duodecimal: 32242

Hexadecimal: 101d2

Square: 4356264004

Square Root: 256.90854403853524

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

a(n) = ∑_k=0..[n/2] binomial((n-k)², n·k-k²). A209331

a(n) is the number of ordered 6-tuples (a₁,a₂,a₃,a₄,a₅,a₆) having all terms in {1,...,n} such that there exists a tetrahedron ABCD with those edge-lengths, taken in a particular order (see comments). A349295

Numbers n such that 8·9ⁿ - 1 is prime. A268356

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, -1), (0, 1), (1, 0), (1, 1)}. A151444

Sum of digits of 6ⁿ. A66002

Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A305480

a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 61. A93261