Properties of the Number 19278

Nineteen Thousand Two Hundred Seventy-Eight

Basics

Value: 19277 → 19278 → 19279

Parity: even

Prime: No

Previous Prime: 19273

Next Prime: 19289

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 7 × 17

Divisors: 1, 2, 3, 6, 7, 9, 14, 17, 18, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101001110

Octal: 45516

Duodecimal: B1A6

Hexadecimal: 4b4e

Square: 371641284

Square Root: 138.84523758487362

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

Triangle whose rows are generated by A136157ⁿ * [1, 1, 0, 0, 0, ...]. A136158

Triangular matrix arising in enumeration of catafusenes, read by rows. A38763

Dimensions of the irreducible representations of the simple Lie algebra of type F4 over the complex numbers, listed in increasing order. A121738

Expansion of (ψ(x) * φ(-x)⁴)² in powers of·where φ(), ψ() are Ramanujan θ functions. A215472

Sum of all the parts in the partitions of n into 6 squarefree parts. A308903

Triangle of generalized Chebyshev coefficients. A80419

a(n) = (n+1)*(n+2)*(n+3)*(n+12)*3ⁿ/72. A80422

Expansion of (ψ(-x) * φ(x)⁴)² in powers of·where φ(), ψ() are Ramanujan θ functions. A209942

Expansion of (1/x) * Series_Reversion( x / (1+x+x³)² ). A369483

Smallest k > 1 such that (sum of digits of kⁿ)*(sum of digits of kⁿ⁺¹) = k, or 0 if no such k exists. A126783