The number 1117
1117 is the 187th prime number. Its only divisors are 1 and 1117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1117: the 187th prime number.
- 2
1117 is prime, so its only factors are 1 and 1117. It is the 187th prime; the next prime is 1123 and the one before is 1109.
- 3
The divisors add up to 1118; without 1117 itself that is 1, so 1117 is deficient (1 is less than 1117). Euler's totient φ(1117) = 1116 numbers up to 1117 share no factor with it.
- 4
The digits of 1117 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 44 steps to reach 1.
1117 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1118 |
| Euler totient φ(n) | 1116 |
| Square | 1247689 |
| Cube | 1393668613 |
| Square root | 33.421550 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 1.117 × |
1117 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and seventeen |
| Roman numerals | MCXVII |
| Binary (base 2) | 10001011101 |
| Octal (base 8) | 2135 |
| Hexadecimal (base 16) | 45D |
| Base 3 | 1112101 |
| As time | 1117 seconds = 18 min 37 s |
Is 1117 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1117 a prime number?
Yes. 1117 is divisible only by 1 and itself.
What are the factors of 1117?
1, 1117.
What is 1117 in binary?
10001011101 (hexadecimal 45D, octal 2135).
What is the square root of 1117?
About 33.4215.
What is 1117 in Roman numerals?
MCXVII.
Is 1117 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1117?
1117 is the 187th prime number.