The number 3797
3797 is the 528th prime number. Its only divisors are 1 and 3797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3797: the 528th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3797 is prime, so its only factors are 1 and 3797. It is the 528th prime; the next prime is 3803 and the one before is 3793.
- 3
The divisors add up to 3798; without 3797 itself that is 1, so 3797 is deficient (1 is less than 3797). Euler's totient φ(3797) = 3796 numbers up to 3797 share no factor with it.
- 4
The digits of 3797 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
3797 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3798 |
| Euler totient φ(n) | 3796 |
| Square | 14417209 |
| Cube | 54742142573 |
| Square root | 61.619802 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.797 × |
3797 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and ninety-seven |
| Roman numerals | MMMDCCXCVII |
| Binary (base 2) | 111011010101 |
| Octal (base 8) | 7325 |
| Hexadecimal (base 16) | ED5 |
| Base 3 | 12012122 |
| As time | 3797 seconds = 1 h 3 min 17 s |
Is 3797 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 5) | 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 2) | 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 3797 a prime number?
Yes. 3797 is divisible only by 1 and itself.
What are the factors of 3797?
1, 3797.
What is 3797 in binary?
111011010101 (hexadecimal ED5, octal 7325).
What is the square root of 3797?
About 61.6198.
What is 3797 in Roman numerals?
MMMDCCXCVII.
Is 3797 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 3797?
3797 is the 528th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.