The number 37879
37879 is the 4006th prime number. Its only divisors are 1 and 37879.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37879: the 4006th prime number.
- 2
37879 is prime, so its only factors are 1 and 37879. It is the 4006th prime; the next prime is 37889 and the one before is 37871.
- 3
The divisors add up to 37880; without 37879 itself that is 1, so 37879 is deficient (1 is less than 37879). Euler's totient φ(37879) = 37878 numbers up to 37879 share no factor with it.
- 4
The digits of 37879 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
37879 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37880 |
| Euler totient φ(n) | 37878 |
| Square | 1434818641 |
| Cube | 54349495302439 |
| Square root | 194.625281 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7879 × |
37879 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and seventy-nine |
| Binary (base 2) | 1001001111110111 |
| Octal (base 8) | 111767 |
| Hexadecimal (base 16) | 93F7 |
| Base 3 | 1220221221 |
| As time | 37879 seconds = 10 h 31 min 19 s |
Is 37879 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37879 a prime number?
Yes. 37879 is divisible only by 1 and itself.
What are the factors of 37879?
1, 37879.
What is 37879 in binary?
1001001111110111 (hexadecimal 93F7, octal 111767).
What is the square root of 37879?
About 194.6253.
Is 37879 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 37879?
37879 is the 4006th prime number.