The number 1097
1097 is the 184th prime number. Its only divisors are 1 and 1097.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1097: the 184th prime number.
- 2
1097 is prime, so its only factors are 1 and 1097. It is the 184th prime; the next prime is 1103 and the one before is 1093.
- 3
The divisors add up to 1098; without 1097 itself that is 1, so 1097 is deficient (1 is less than 1097). Euler's totient φ(1097) = 1096 numbers up to 1097 share no factor with it.
- 4
The digits of 1097 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
1097 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1098 |
| Euler totient φ(n) | 1096 |
| Square | 1203409 |
| Cube | 1320139673 |
| Square root | 33.120990 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 1.097 × |
1097 in other forms
| Form | Value |
|---|---|
| In words | one thousand and ninety-seven |
| Roman numerals | MXCVII |
| Binary (base 2) | 10001001001 |
| Octal (base 8) | 2111 |
| Hexadecimal (base 16) | 449 |
| Base 3 | 1111122 |
| As time | 1097 seconds = 18 min 17 s |
Is 1097 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | 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 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1097 a prime number?
Yes. 1097 is divisible only by 1 and itself.
What are the factors of 1097?
1, 1097.
What is 1097 in binary?
10001001001 (hexadecimal 449, octal 2111).
What is the square root of 1097?
About 33.1210.
What is 1097 in Roman numerals?
MXCVII.
Is 1097 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1097?
1097 is the 184th prime number.