Properties of the Number 19197

Nineteen Thousand One Hundred Ninety-Seven

Basics

Value: 19196 → 19197 → 19198

Parity: odd

Prime: No

Previous Prime: 19183

Next Prime: 19207

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 79

Divisors: 1, 3, 9, 27, 79, 81, 237, 243, 711, 2133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101011111101

Octal: 45375

Duodecimal: B139

Hexadecimal: 4afd

Square: 368524809

Square Root: 138.55323886506588

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 2n into parts such that the largest multiplicity equals n. A232697

Number of partitions of n with unique smallest part and unique largest part. A117298

Schroeder triangle sums: a(n) = A006603(n+3) - A006318(n+3) - A006319(n+2). A227505

Dirichlet inverse of A133494, 3^n-1. A349453

9 times octagonal numbers: a(n) = 9·n*(3·n-2). A64201

Where records occur in A239866. A239867

G.f.: ∏_k>=1 (1+x^k)^3·k+2. A255837

a(n) = (∑_i=1..n-1 i^n-2) mod n³. A284759

Terms of A046337 for which A358777 is zero, where the latter is the Dirichlet inverse of former's characteristic function. A359607

Triangle read by rows. T(n, k) = numerator([x^k] R(n, n, x)), where R(n, k, x) = ∑_u=0..k ( ∑_j=0..u x^j * binomial(u, j) * (j + 1)ⁿ ) / (u + 1). A362996