Properties of the Number 19186

Nineteen Thousand One Hundred Eighty-Six

Basics

Value: 19185 → 19186 → 19187

Parity: even

Prime: No

Previous Prime: 19183

Next Prime: 19207

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 53 × 181

Divisors: 1, 2, 53, 106, 181, 362, 9593, 19186

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100101011110010

Octal: 45362

Duodecimal: B12A

Hexadecimal: 4af2

Square: 368102596

Square Root: 138.51353724455961

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+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order. A210320

Positions of 2's in A264977; positions of 3's in A277330. A277712

Numbers m such that numerator of ∑_k=1..m 1/(prime(k)-k) is prime. A92065

Number of (n+1) X 2 0..3 arrays containing all values 0..3 with every 2 X 2 subblock having two or three distinct values, and new values 0..3 introduced in row major order. A210313

Number of (n+1)X5 0..3 arrays containing all values 0..3 with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order. A210316

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite HEU = Heulandite Ca4[Al8Si28O72].24H2O starting with a T4 atom. A19135

G.f. satisfies A(x) = 1 + x*(A(x)² + A(x)⁴). A219534

a(1) = 1, a(2) = 2, for a(n) > 2, a(n) is the smallest unused positive number that shares a factor with a(n-1) such that the exponents of each distinct prime factor of a(n-1) differ by one from those of the same prime factors of a(n). A379441

Number of ways five L-tiles can be placed on an n X n square. A243648

Number of nX6 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 0 and 1 0 1 vertically. A207783