The number 37321
37321 is the 3952nd prime number. Its only divisors are 1 and 37321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37321: the 3952nd prime number.
- 2
37321 is prime, so its only factors are 1 and 37321. It is the 3952nd prime; the next prime is 37337 and the one before is 37313.
- 3
The divisors add up to 37322; without 37321 itself that is 1, so 37321 is deficient (1 is less than 37321). Euler's totient φ(37321) = 37320 numbers up to 37321 share no factor with it.
- 4
The digits of 37321 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 124 steps to reach 1.
37321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37322 |
| Euler totient φ(n) | 37320 |
| Square | 1392857041 |
| Cube | 51982817627161 |
| Square root | 193.186438 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.7321 × |
37321 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and twenty-one |
| Binary (base 2) | 1001000111001001 |
| Octal (base 8) | 110711 |
| Hexadecimal (base 16) | 91C9 |
| Base 3 | 1220012021 |
| As time | 37321 seconds = 10 h 22 min 1 s |
Is 37321 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 4) | 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 9) | 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 37321 a prime number?
Yes. 37321 is divisible only by 1 and itself.
What are the factors of 37321?
1, 37321.
What is 37321 in binary?
1001000111001001 (hexadecimal 91C9, octal 110711).
What is the square root of 37321?
About 193.1864.
Is 37321 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37321?
37321 is the 3952nd prime number.