Properties of the Number 19104

Nineteen Thousand One Hundred Four

Basics

Value: 19103 → 19104 → 19105

Parity: even

Prime: No

Previous Prime: 19087

Next Prime: 19121

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 199

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010100000

Octal: 45240

Duodecimal: B080

Hexadecimal: 4aa0

Square: 364962816

Square Root: 138.21722034536796

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 n such that no part is a sum of two other parts. A236912

Number of Hamiltonian labeled n-vertex digraphs (with loops). A326204

Number of integer partitions of n with the maximum adjusted frequency depth for partitions of n. A325254

∑_k<=n (σ(k)²), where σ(k) denotes the sum of the divisors of k A000203. A72379

Numbers n such that the decimal number concat(7,n) is a square. A273362

Number of nonnegative solutions of x1² + x2² + ... + x9² = n. A45851

Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954

a(n) is the greatest integer k such that k/Fibonacci(n) < 2/3. A293545

G.f.: ∑_n>=0 (xⁿ⁺¹ + i)ⁿ / (1 + i·xⁿ)ⁿ⁺¹, in which the constant term is taken to be 1. A323690

Triangle of numbers where T(n,k) is the number of k-dimensional faces on a partially truncated n-cube, 0 <= k <= n. A271316