Properties of the Number 19006

Nineteen Thousand Six

Basics

Value: 19005 → 19006 → 19007

Parity: even

Prime: No

Previous Prime: 19001

Next Prime: 19009

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 17 × 43

Divisors: 1, 2, 13, 17, 26, 34, 43, 86, 221, 442

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101000111110

Octal: 45076

Duodecimal: ABBA

Hexadecimal: 4a3e

Square: 361228036

Square Root: 137.86225009044355

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 nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A299806

a(n) = ∑_{k=0..floor(n/2)} (-1)^k * binomial(2·n-2·k-1,n-2·k). A371798

Expansion of (1+x·C)*C³, where C = (1-sqrt(1-4·x))/(2·x) is g.f. for Catalan numbers, A000108. A70031

Number of squares and rectangles in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid. A330805

Number of unordered ways of making change for n dollars using coins of denominations 1, 5, 10, and 25. A160551

Anagrasum integers: integers N that exactly reproduce their set of digits when we form the set of sums of pairs of adjacent digits. A296521

a(n) is the smallest term m in A173978 for which A020639(2m-3) = prime(n), n > 1. A173980

Pseudoprimes to base 35. A20163

Inverse of binomial transform of Whitney triangle. A97761

a(n) = prime(x) - π(x) where·is the least·such that (prime(x+1) - π(x+1)) - (prime(x) - π(x)) = n. A111183