Properties of the Number 19008

Nineteen Thousand Eight

Basics

Value: 19007 → 19008 → 19009

Parity: even

Prime: No

Previous Prime: 19001

Next Prime: 19009

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ³ × 11

Divisors: 1, 2, 3, 4, 6, 8, 9, 11, 12, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101001000000

Octal: 45100

Duodecimal: B000

Hexadecimal: 4a40

Square: 361304064

Square Root: 137.8695035169127

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

The number of permutations p of {1,...,n} satisfying |p(i)-p(i+1)| is in {4,5} for i from 1 to n-1. A174708

a(n) = floor(n/4)*floor((n+1)/4)*floor((n+2)/4)*floor((n+3)/4). A8233

3 times 12-gonal (or dodecagonal) numbers: a(n) = 3·n*(5·n-4). A153448

T(n,k)=Number of nXnXn triangular 0..k arrays with some element less than a w, nw or ne neighbor exactly once. A271034

a(n) = n⁴ - n³. A85537

Coefficients in q-expansion of E₄*E₆², where E₄ and E₆ are respectively the Eisenstein series A004009 and A013973. A282287

Coefficients in expansion of Eisenstein series -q·E'_2. A76835

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order. A209897

a(n) = (n+1)*(n-2)*(n-3)/2. A212343

Values of φ(k) when φ(k) = φ(k+1). A3275