Properties of the Number 19108

Nineteen Thousand One Hundred Eight

Basics

Value: 19107 → 19108 → 19109

Parity: even

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 17 × 281

Divisors: 1, 2, 4, 17, 34, 68, 281, 562, 1124, 4777

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010100100

Octal: 45244

Duodecimal: B084

Hexadecimal: 4aa4

Square: 365115664

Square Root: 138.2316895650198

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

a(n) = (n+1)*(n²+n+2)/2; g.f.: (1 + 2·x²) / (1 - x)⁴. A6000

Number of cyclic arrangements of S={1,2,...,2n} such that the difference between any two neighbors is 3^k for some k=0,1,2,... A242520

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood. A283251

G.f.: ∑_k>=1 x^k/(1+x^k) * ∏_k>=1 (1+x^k)/(1-x^k). A305101

Counterexamples to a conjecture of Ramanujan about congruences related to the partition function. A340757

Triangular array read by rows: T(m,n) = number of Yamanouchi words of length m that start with n, m >= 1, n = 1..m. A369588

Triangle read by rows, M·Q; M = (T(n,k) = A155728(n-k+1)); Q = (A155728·0^n-k). A155729

Number of (strict) inversions in all standard Young tableaux of size n. A225617

36-gonal numbers: a(n) = n*(17·n-16). A282853

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n)², where a(0) = 3, a(1) = 4, b(0) = 1, b(1) = 2, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A296250