Properties of the Number 19603

Nineteen Thousand Six Hundred Three

Basics

Value: 19602 → 19603 → 19604

Parity: odd

Prime: Yes

Previous Prime: 19597

Next Prime: 19609

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19603

Divisors: 1, 19603

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100110010010011

Octal: 46223

Duodecimal: B417

Hexadecimal: 4c93

Square: 384277609

Square Root: 140.01071387576025

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

Take solution to Pellian equation x² - n·y² = 1 with smallest positive y and x >= 0; sequence gives a(n) = x, or 1 if n is a square. A002349 gives values of y. A2350

Smallest positive integer·satisfying the Pell equation x² - D·y² = 1 for nonsquare D and positive y. A33313

Indices of zeros of the sequence u(n)=abs(u(n-1)-gcd(u(n-1),n-1)), u(1)=1. A186253

Primes of the form k² + 3. A49423

Primes of the form 2·n²+1. A90698

Number of 7-almost primes 7ap such that 2ⁿ < 7ap <= 2ⁿ⁺¹. A120038

Sum of smallest parts of all partitions of n into an odd number of parts. A222044

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,3,1,1,1 for x=0,1,2,3,4. A197401

Lower prime of a record difference between it and the second prime after it. A31133

Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,2) - p = 2·n, or -1 if no such prime exists. A144103