Properties of the Number 16006

Sixteen Thousand Six

Basics

Value: 16005 → 16006 → 16007

Parity: even

Prime: No

Previous Prime: 16001

Next Prime: 16007

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 53 × 151

Divisors: 1, 2, 53, 106, 151, 302, 8003, 16006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11111010000110

Octal: 37206

Duodecimal: 931A

Hexadecimal: 3e86

Square: 256192036

Square Root: 126.51482126612676

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 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1's. A297802

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having the maximum of its diagonal elements greater than the absolute difference of its antidiagonal elements. A251317

Binomial transform of 1,0,1,0,1,1,1,... A84635

Number of ways in which n identical balls can be distributed among 6 boxes in a row such that each pair of adjacent boxes contains at least 4 balls. A5339

Expansion of g.f. x²/(1-2·x-49·x²). A123005

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s. A297800

a(n) = a(n-1) - 2·a(n-2) - 3·a(n-3) - ... - (n-1)*a(1), with a(1) = a(2) = 2, a(3) = -2. A106541

Submain diagonal of array A265903: a(n) = A265903(n+1, n). A265909

Numbers m such that there exists a j for which m = ∑_k=1..j (m mod k), where k runs through the largest j primes less than m. A274422

Triangle T(n, k) = binomial(2·n, n) + binomial(n, k)², read by rows. A157531