Properties of the Number 19284

Nineteen Thousand Two Hundred Eighty-Four

Basics

Value: 19283 → 19284 → 19285

Parity: even

Prime: No

Previous Prime: 19273

Next Prime: 19289

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 1607

Divisors: 1, 2, 3, 4, 6, 12, 1607, 3214, 4821, 6428

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100101101010100

Octal: 45524

Duodecimal: B1B0

Hexadecimal: 4b54

Square: 371872656

Square Root: 138.8668426947196

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

McKay-Thompson series of class 5B for the Monster group with a(0) = -6. A106248

McKay-Thompson series of class 5B for the Monster group with a(0) = 0. A7252

Number of partitions of n into an odd number of parts that are not multiples of 4. A339407

E.g.f. satisfies A(x) = 1 - x·A(x)³*log(1 - x·A(x)). A371122

a(n) is the number of squares at distance n from the central square of a golden square fractal. A339124

Numbers n such that n·2²²⁸¹ - 1 is prime. A265504

Index of first occurrence of 2n in A031883, or 0 if 2n never occurs in A031883 = first differences of lucky numbers A000959. A181558

Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k·n; sequence gives the (2,7)-perfect numbers. A19284

a(1) = 1, a(2) = 2; a(n) = gcd(a(n-1), a(n-2)) + (a(n-1) + a(n-2))/gcd(a(n-1), a(n-2)). A351871

T(n,k) = number of 1:4:sqrt(17) proportioned triangles on a (n+1) X (k+1) grid. A189885