The number 119
119 is a binary palindrome (1110111). Its prime factorisation is 7 × 17. Divisors (4): 1, 7, 17, 119.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 119: a binary palindrome (1110111); a semiprime: 7 × 17, the product of two primes.
- 2
119 is composite. Its prime factorisation is
- 3
The divisors add up to 144; without 119 itself that is 25, so 119 is deficient (25 is less than 119). Euler's totient φ(119) = 96 numbers up to 119 share no factor with it.
- 4
The digits of 119 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 119 = 7 \times 17 \]
119 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 144 |
| Euler totient φ(n) | 96 |
| Square | 14161 |
| Cube | 1685159 |
| Square root | 10.908712 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 33 |
| Scientific notation | 1.19 × |
119 in other forms
| Form | Value |
|---|---|
| In words | one hundred and nineteen |
| Roman numerals | CXIX |
| Binary (base 2) | 1110111 |
| Octal (base 8) | 167 |
| Hexadecimal (base 16) | 77 |
| Base 3 | 11102 |
| As time | 119 seconds = 1 min 59 s |
Is 119 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 | Yes (119 ÷ 7 = 17) | 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 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 9) | 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 119 a prime number?
No. 119 = 7 × 17, so it is divisible by 7.
What are the factors of 119?
1, 7, 17, 119.
What is 119 in binary?
1110111 (hexadecimal 77, octal 167).
What is the square root of 119?
About 10.9087.
What is 119 in Roman numerals?
CXIX.
Is 119 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 119?
119 is a binary palindrome (1110111); a semiprime: 7 × 17, the product of two primes.