The number 379
379 is the 75th prime number. Its only divisors are 1 and 379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 379: the 75th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
379 is prime, so its only factors are 1 and 379. It is the 75th prime; the next prime is 383 and the one before is 373.
- 3
The divisors add up to 380; without 379 itself that is 1, so 379 is deficient (1 is less than 379). Euler's totient φ(379) = 378 numbers up to 379 share no factor with it.
- 4
The digits of 379 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
379 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 380 |
| Euler totient φ(n) | 378 |
| Square | 143641 |
| Cube | 54439939 |
| Square root | 19.467922 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 3.79 × |
379 in other forms
| Form | Value |
|---|---|
| In words | three hundred and seventy-nine |
| Roman numerals | CCCLXXIX |
| Binary (base 2) | 101111011 |
| Octal (base 8) | 573 |
| Hexadecimal (base 16) | 17B |
| Base 3 | 112001 |
| As time | 379 seconds = 6 min 19 s |
Is 379 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 5) | 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 379 a prime number?
Yes. 379 is divisible only by 1 and itself.
What are the factors of 379?
1, 379.
What is 379 in binary?
101111011 (hexadecimal 17B, octal 573).
What is the square root of 379?
About 19.4679.
What is 379 in Roman numerals?
CCCLXXIX.
Is 379 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 379?
379 is the 75th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.