Properties of the Number 19085

Nineteen Thousand Eighty-Five

Basics

Value: 19084 → 19085 → 19086

Parity: odd

Prime: No

Previous Prime: 19081

Next Prime: 19087

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 5 × 11 × 347

Divisors: 1, 5, 11, 55, 347, 1735, 3817, 19085

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 100101010001101

Octal: 45215

Duodecimal: B065

Hexadecimal: 4a8d

Square: 364237225

Square Root: 138.14847085653898

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

Expansion of 1/∑_k>=0 x^k². A317665

Number of Carlitz compositions of n with exactly eight descents. A241698

Expansion of e.g.f. exp(4*(exp(x) - 1) - x). A367919

Number of arrays of -2..2 integers x(1..n) with every x(i) in a subsequence of length 1 or 2 with sum zero. A193642

Numbers k such that 10·13^k + 1 is prime. A57464

Sum of the squares of the first n nonsquarefree numbers (A013929). A111732

T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a substring of length 1 or 2 with sum zero. Array listed by antidiagonals. A193648

Square table defined by T(n,k) = ∑_{m=k(k+1)/2..k(k+1)/2+k} [x^m] S(x)ⁿ for n>=1, k>=0, where S(x) = ∑_n>=0 xⁿ⁽ⁿ⁺¹/2), as read by antidiagonals. A162430

Number of 5X5X5 triangular 0..n arrays with every horizontal row having the same average value. A214598

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite BRE = Brewsterite (Sr,Ba)2[Al4Si12O32].10H2O starting with a T4 atom. A19085