Properties of the Number 19045

Nineteen Thousand Forty-Five

Basics

Value: 19044 → 19045 → 19046

Parity: odd

Prime: No

Previous Prime: 19037

Next Prime: 19051

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 × 13 × 293

Divisors: 1, 5, 13, 65, 293, 1465, 3809, 19045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101001100101

Octal: 45145

Duodecimal: B031

Hexadecimal: 4a65

Square: 362712025

Square Root: 138.00362314084367

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

Numbers k such that k, k+1, k+2 and k+3 have the same number of divisors. A6601

Total area of the shadows of the three views of the version "Tree" of the shell model of partitions with n shells. A210979

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1. A299708

a(n) = 9·n² + 1. A247792

a(n) = 36·n² + 1. A158591

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1 and gcd(j,k) = 1. A300166

Average of squares of successive primes: a(n) = (prime(n+1)² + prime(n)²)/2, with n >= 2. A75892

Numbers of the form p·q*r where p, q, r are distinct primes congruent to 1 mod 4 such that Legendre(p/q) = Legendre(p/r) = Legendre(q/r) = -1. A323271

p-INVERT of the positive integers, where p(S) = 1 - 5·S². A290909

A self-"read and extend" sequence built following the rules visible in the Comments section (a kind of Collatz-by-digits sequence). A316764