The number 19321
19321 is a perfect square (139²). Its prime factorisation is . Divisors (3): 1, 139, 19321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 19321: a perfect square (139²); the square of a prime (139²).
- 2
19321 is composite. Its prime factorisation is
- 3
The divisors add up to 19461; without 19321 itself that is 140, so 19321 is deficient (140 is less than 19321). Euler's totient φ(19321) = 19182 numbers up to 19321 share no factor with it.
- 4
The digits of 19321 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19321 = 139^{2} \]19321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 19461 |
| Euler totient φ(n) | 19182 |
| Square | 373301041 |
| Cube | 7212549413161 |
| Square root | 139 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 167 |
| Scientific notation | 1.9321 × |
| Perfect power |
19321 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand three hundred and twenty-one |
| Binary (base 2) | 100101101111001 |
| Octal (base 8) | 45571 |
| Hexadecimal (base 16) | 4B79 |
| Base 3 | 222111121 |
| As time | 19321 seconds = 5 h 22 min 1 s |
Is 19321 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 19321 a prime number?
No. 19321 = , so it is divisible by 139.
What are the factors of 19321?
1, 139, 19321.
What is 19321 in binary?
100101101111001 (hexadecimal 4B79, octal 45571).
What is the square root of 19321?
139, because 139 × 139 = 19321.
Is 19321 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 19321?
19321 is a perfect square (139²); the square of a prime (139²).