Properties of the Number 4066

Four Thousand Sixty-Six

Basics

Value: 4065 → 4066 → 4067

Parity: even

Prime: No

Previous Prime: 4057

Next Prime: 4073

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 19 × 107

Divisors: 1, 2, 19, 38, 107, 214, 2033, 4066

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111100010

Octal: 7742

Duodecimal: 242A

Hexadecimal: fe2

Square: 16532356

Square Root: 63.76519426771944

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 of paths from (0,0) to (3n,0) that stay in first quadrant (but may touch horizontal axis) and where each step is (2,1), (1,2) or (1,-1). A27307

'Eban' numbers (the letter 'e' is banned!). A6933

Number of strict integer partitions of n with no part divisible by all the others. A343377

Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n. A137251

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A300923

Sum of the largest parts in the partitions of n into 6 squarefree parts. A308911

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=0..n binomial(n,j) * binomial(k·n+j+1,n)/(k·n+j+1). A336534

a(n) = 1 + n/2 + 9·n²/2. A6137

Triangle read by rows of numbers of paths in a lattice satisfying certain conditions. A71949

Length of list created by n substitutions k -> Range[-abs(k+1), abs(k-1), 2] starting with {0}. A84078