Properties of the Number 4006

Four Thousand Six

Basics

Value: 4005 → 4006 → 4007

Parity: even

Prime: No

Previous Prime: 4003

Next Prime: 4007

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 2003

Divisors: 1, 2, 2003, 4006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100110

Octal: 7646

Duodecimal: 239A

Hexadecimal: fa6

Square: 16048036

Square Root: 63.29296959378664

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 tilings of a 5 X n rectangle with n pentominoes of any shape. A174249

Number A(n,k) of tilings of a k X n rectangle using pentominoes of any shape; square array A(n,k), n>=0, k>=0, read by antidiagonals. A233427

a(n) = 2·n² - n + 1. A130883

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

Smallest palindrome greater than n in bases n and n+1. A48268

Number of integer partitions of n with an alternating permutation covering an initial interval of positive integers. A345163

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

Dispersion of A047216, (numbers >1 and congruent to 1 or 2 mod 5), by antidiagonals. A191726

Compound filter: a(n) = P(A003557(n), A048250(n)), where P(n,k) is sequence A000027 used as a pairing function. A291750

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558