The number 1697
1697 is a twin prime (1697 and 1699 are both prime) and the 265th prime number. Its only divisors are 1 and 1697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1697: a twin prime (1697 and 1699 are both prime); the 265th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1697 is prime, so its only factors are 1 and 1697. It is the 265th prime; the next prime is 1699 and the one before is 1693.
- 3
The divisors add up to 1698; without 1697 itself that is 1, so 1697 is deficient (1 is less than 1697). Euler's totient φ(1697) = 1696 numbers up to 1697 share no factor with it.
- 4
The digits of 1697 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
1697 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1698 |
| Euler totient φ(n) | 1696 |
| Square | 2879809 |
| Cube | 4887035873 |
| Square root | 41.194660 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.697 × |
1697 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and ninety-seven |
| Roman numerals | MDCXCVII |
| Binary (base 2) | 11010100001 |
| Octal (base 8) | 3241 |
| Hexadecimal (base 16) | 6A1 |
| Base 3 | 2022212 |
| As time | 1697 seconds = 28 min 17 s |
Is 1697 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 3) | 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 5) | 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 3) | 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 1697 a prime number?
Yes. 1697 is divisible only by 1 and itself.
What are the factors of 1697?
1, 1697.
What is 1697 in binary?
11010100001 (hexadecimal 6A1, octal 3241).
What is the square root of 1697?
About 41.1947.
What is 1697 in Roman numerals?
MDCXCVII.
Is 1697 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 1697?
1697 is a twin prime (1697 and 1699 are both prime); the 265th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.