The number 116
116 is a composite number with 6 divisors. Its prime factorisation is × 29. Divisors (6): 1, 2, 4, 29, 58, 116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
116 is composite. Its prime factorisation is
- 3
The divisors add up to 210; without 116 itself that is 94, so 116 is deficient (94 is less than 116). Euler's totient φ(116) = 56 numbers up to 116 share no factor with it.
- 4
The digits of 116 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 116 = 2^{2} \times 29 \]116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 210 |
| Euler totient φ(n) | 56 |
| Square | 13456 |
| Cube | 1560896 |
| Square root | 10.770330 (= 2√29) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 20 |
| Scientific notation | 1.16 × |
116 in other forms
| Form | Value |
|---|---|
| In words | one hundred and sixteen |
| Roman numerals | CXVI |
| Binary (base 2) | 1110100 |
| Octal (base 8) | 164 |
| Hexadecimal (base 16) | 74 |
| Base 3 | 11022 |
| As time | 116 seconds = 1 min 56 s |
Is 116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (116 ÷ 2 = 58) | 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 | Yes (116 ÷ 4 = 29) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 116 a prime number?
No. 116 = × 29, so it is divisible by 2.
What are the factors of 116?
1, 2, 4, 29, 58, 116.
What is 116 in binary?
1110100 (hexadecimal 74, octal 164).
What is the square root of 116?
About 10.7703, exactly 2√29.
What is 116 in Roman numerals?
CXVI.
Is 116 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 116?
It is a composite number with 6 divisors.