The number 37379
37379 is the 3959th prime number. Its only divisors are 1 and 37379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37379: the 3959th prime number.
- 2
37379 is prime, so its only factors are 1 and 37379. It is the 3959th prime; the next prime is 37397 and the one before is 37369.
- 3
The divisors add up to 37380; without 37379 itself that is 1, so 37379 is deficient (1 is less than 37379). Euler's totient φ(37379) = 37378 numbers up to 37379 share no factor with it.
- 4
The digits of 37379 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
37379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37380 |
| Euler totient φ(n) | 37378 |
| Square | 1397189641 |
| Cube | 52225551590939 |
| Square root | 193.336494 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7379 × |
37379 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and seventy-nine |
| Binary (base 2) | 1001001000000011 |
| Octal (base 8) | 111003 |
| Hexadecimal (base 16) | 9203 |
| Base 3 | 1220021102 |
| As time | 37379 seconds = 10 h 22 min 59 s |
Is 37379 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37379 a prime number?
Yes. 37379 is divisible only by 1 and itself.
What are the factors of 37379?
1, 37379.
What is 37379 in binary?
1001001000000011 (hexadecimal 9203, octal 111003).
What is the square root of 37379?
About 193.3365.
Is 37379 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 37379?
37379 is the 3959th prime number.