The number 118
118 is a composite number with 4 divisors. Its prime factorisation is 2 × 59. Divisors (4): 1, 2, 59, 118.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 118: a semiprime: 2 × 59, the product of two primes.
- 2
118 is composite. Its prime factorisation is
- 3
The divisors add up to 180; without 118 itself that is 62, so 118 is deficient (62 is less than 118). Euler's totient φ(118) = 58 numbers up to 118 share no factor with it.
- 4
The digits of 118 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 118 = 2 \times 59 \]
118 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 180 |
| Euler totient φ(n) | 58 |
| Square | 13924 |
| Cube | 1643032 |
| Square root | 10.862780 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 33 |
| Scientific notation | 1.18 × |
118 in other forms
| Form | Value |
|---|---|
| In words | one hundred and eighteen |
| Roman numerals | CXVIII |
| Binary (base 2) | 1110110 |
| Octal (base 8) | 166 |
| Hexadecimal (base 16) | 76 |
| Base 3 | 11101 |
| As time | 118 seconds = 1 min 58 s |
Is 118 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (118 ÷ 2 = 59) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 118 a prime number?
No. 118 = 2 × 59, so it is divisible by 2.
What are the factors of 118?
1, 2, 59, 118.
What is 118 in binary?
1110110 (hexadecimal 76, octal 166).
What is the square root of 118?
About 10.8628.
What is 118 in Roman numerals?
CXVIII.
Is 118 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 118?
118 is a semiprime: 2 × 59, the product of two primes.