Properties of the Number 19384

Nineteen Thousand Three Hundred Eighty-Four

Basics

Value: 19383 → 19384 → 19385

Parity: even

Prime: No

Previous Prime: 19381

Next Prime: 19387

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 2423

Divisors: 1, 2, 4, 8, 2423, 4846, 9692, 19384

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110111000

Octal: 45670

Duodecimal: B274

Hexadecimal: 4bb8

Square: 375739456

Square Root: 139.2264342716569

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

Nondescending wiggly sums: number of sums adding to n in which terms alternately do not decrease and do not increase. A129852

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j=1..k+1 binomial(k,j-1)*x^j/j). A293991

Row sums of triangle A049410. A49426

3*∑_k>=0 kⁿ/binomial(2·k, k) = π*sqrt(3)*q(n) + a(n) for some rational sequence (q(n)). A98830

Numbers n such that gcd(n, φ(n)) = gcd(φ(n), σ(n)) = gcd(σ(n), n) = τ(n). A217301

Numbers n such that the Collatz iterations for n and n + 1 have the same length (A078417) but do not meet a certain condition. (See comments.) A274410

G.f. A(x) satisfies: A(x) = ∑_n>=0 [x·A(x)]^2ⁿ-1. A134527

Number of length 3 1..(n+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal. A254220

Interprimes which are of the form s·prime, s=8. A75283

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x+3)^k. A246798