The number 319
319 is a composite number with 4 divisors. Its prime factorisation is 11 × 29. Divisors (4): 1, 11, 29, 319.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 319: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 29, the product of two primes.
- 2
319 is composite. Its prime factorisation is
- 3
The divisors add up to 360; without 319 itself that is 41, so 319 is deficient (41 is less than 319). Euler's totient φ(319) = 280 numbers up to 319 share no factor with it.
- 4
The digits of 319 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 319 = 11 \times 29 \]
319 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 360 |
| Euler totient φ(n) | 280 |
| Square | 101761 |
| Cube | 32461759 |
| Square root | 17.860571 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 3.19 × |
319 in other forms
| Form | Value |
|---|---|
| In words | three hundred and nineteen |
| Roman numerals | CCCXIX |
| Binary (base 2) | 100111111 |
| Octal (base 8) | 477 |
| Hexadecimal (base 16) | 13F |
| Base 3 | 102211 |
| As time | 319 seconds = 5 min 19 s |
Is 319 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (319 ÷ 11 = 29) | 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 319 a prime number?
No. 319 = 11 × 29, so it is divisible by 11.
What are the factors of 319?
1, 11, 29, 319.
What is 319 in binary?
100111111 (hexadecimal 13F, octal 477).
What is the square root of 319?
About 17.8606.
What is 319 in Roman numerals?
CCCXIX.
Is 319 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 319?
319 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 29, the product of two primes.