Properties of the Number 19378

Nineteen Thousand Three Hundred Seventy-Eight

Basics

Value: 19377 → 19378 → 19379

Parity: even

Prime: No

Previous Prime: 19373

Next Prime: 19379

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 9689

Divisors: 1, 2, 9689, 19378

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101110110010

Octal: 45662

Duodecimal: B26A

Hexadecimal: 4bb2

Square: 375506884

Square Root: 139.20488497175666

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 length n inversion sequences avoiding the patterns 100, 102, and 201. A279562

a(n) is the number of divisors of n-th even perfect number. A61645

Triangle, read by rows, equal to the matrix cube of triangle A185620. A185628

G.f.: exp( ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + d·xⁿ) ). A205478

Indices n such that the 3 X 3 matrix with components (row by row) prime(n+k), 0 <= k <= 8, has zero determinant. A117345

Column 1 of triangle A185628. A185630

Numbers k for which R(k) + 3·10^floor(k/2) is prime, where R(k) = (10^k-1)/9 (repunit: A002275). A331866

a(n) = (a(n-1) + a(n-3))/2^m, where 2^m is the highest power of 2 that divides both a(n-1) and a(n-3), with a(0) = a(1) = a(2) = 1. A341313

a(n) = ∑_k=0..2·n-3 T(n, k)*T(n, k+3), T given by A027960. A27987

a(n) = a(1) + a(2) + ... + a(n-1) - a(m) for n >= 4, where m = 2^p+1 + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1, a(2) = 3, and a(3) = 1. A49917