The number 3697
3697 is the 516th prime number. Its only divisors are 1 and 3697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3697: the 516th prime number.
- 2
3697 is prime, so its only factors are 1 and 3697. It is the 516th prime; the next prime is 3701 and the one before is 3691.
- 3
The divisors add up to 3698; without 3697 itself that is 1, so 3697 is deficient (1 is less than 3697). Euler's totient φ(3697) = 3696 numbers up to 3697 share no factor with it.
- 4
The digits of 3697 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
3697 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3698 |
| Euler totient φ(n) | 3696 |
| Square | 13667809 |
| Cube | 50529889873 |
| Square root | 60.802960 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.697 × |
3697 in other forms
| Form | Value |
|---|---|
| In words | three thousand six hundred and ninety-seven |
| Roman numerals | MMMDCXCVII |
| Binary (base 2) | 111001110001 |
| Octal (base 8) | 7161 |
| Hexadecimal (base 16) | E71 |
| Base 3 | 12001221 |
| As time | 3697 seconds = 1 h 1 min 37 s |
Is 3697 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 1) | 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 7) | 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 1) | 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 3697 a prime number?
Yes. 3697 is divisible only by 1 and itself.
What are the factors of 3697?
1, 3697.
What is 3697 in binary?
111001110001 (hexadecimal E71, octal 7161).
What is the square root of 3697?
About 60.8030.
What is 3697 in Roman numerals?
MMMDCXCVII.
Is 3697 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3697?
3697 is the 516th prime number.