Properties of the Number 11006

Eleven Thousand Six

Basics

Value: 11005 → 11006 → 11007

Parity: even

Prime: No

Previous Prime: 11003

Next Prime: 11027

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 5503

Divisors: 1, 2, 5503, 11006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101011111110

Octal: 25376

Duodecimal: 6452

Hexadecimal: 2afe

Square: 121132036

Square Root: 104.90948479522717

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 partitions of n such that (number of distinct parts) = maximal multiplicity of the parts. A239964

Triangle T(n,k) read by rows, matrix product of A046899(row-reversed) * A130595. A158815

Sum over all partitions of n into distinct parts of the bitwise XOR of the parts. A306925

Number of compositions of n where the smallest part is greater than the number of parts. A98132

Number of 1's in n-th "Kolakoski" string defined in A054349. A111124

Number of UUDD's, where U=(1,1) and D=(1,-1), in all hill-free Dyck paths of semilength n (a hill in a Dyck path is a peak at level 1). A116914

Triangle of coefficients of polynomials u(n,x) jointly generated with A210204; see the Formula section. A210203

Indices where the cumulative sum of sin(2k+1)^2k+1 reaches a record high value. A387706

Cube root of A030683. A30684

Numbers k such that d(k) + d(k+1) + d(k+2) = 8, where d(k) = A001223. A64026