Properties of the Number 19065

Nineteen Thousand Sixty-Five

Basics

Value: 19064 → 19065 → 19066

Parity: odd

Prime: No

Previous Prime: 19051

Next Prime: 19069

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 31 × 41

Divisors: 1, 3, 5, 15, 31, 41, 93, 123, 155, 205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100101001111001

Octal: 45171

Duodecimal: B049

Hexadecimal: 4a79

Square: 363474225

Square Root: 138.07606599262596

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A239858

Bases b where exactly eight primes p with p < b exist such that p is a base-b Wieferich prime. A325884

a(n) = (2^A002326(n)-1)/(2·n+1). A165781

T(n,k)=Number of nXk 0..2 arrays with no element equal to a different number of vertical neighbors than horizontal neighbors, with new values 0..2 introduced in row major order. A240893

z-value of the solution (x,y,z) to 3/(2n+1) = 1/x + 1/y + 1/z satisfying 0 < x < y < z, odd x, y, z and having the largest z-value. The·and y components are in A075260 and A075261. A75262

a(n) = (1/n)*A204983(n). A204984

a(n) = (2^A003558(n) - A332433(n))/(2·n+1), for n >= 0. A329593

Divisors of 2²⁰ - 1. A3529

Decreasing partition array based on the fractional parts of tan(n); see Comments. A389579

Odd long legs `B` of more than one primitive Pythagorean triangle. A179271