The number 3997
3997 is a composite number with 4 divisors. Its prime factorisation is 7 × 571. Divisors (4): 1, 7, 571, 3997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3997: a semiprime: 7 × 571, the product of two primes.
- 2
3997 is composite. Its prime factorisation is
- 3
The divisors add up to 4576; without 3997 itself that is 579, so 3997 is deficient (579 is less than 3997). Euler's totient φ(3997) = 3420 numbers up to 3997 share no factor with it.
- 4
The digits of 3997 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3997 = 7 \times 571 \]
3997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4576 |
| Euler totient φ(n) | 3420 |
| Square | 15976009 |
| Cube | 63856107973 |
| Square root | 63.221832 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.997 × |
3997 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and ninety-seven |
| Roman numerals | MMMCMXCVII |
| Binary (base 2) | 111110011101 |
| Octal (base 8) | 7635 |
| Hexadecimal (base 16) | F9D |
| Base 3 | 12111001 |
| As time | 3997 seconds = 1 h 6 min 37 s |
Is 3997 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 | Yes (3997 ÷ 7 = 571) | 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 4) | 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 3997 a prime number?
No. 3997 = 7 × 571, so it is divisible by 7.
What are the factors of 3997?
1, 7, 571, 3997.
What is 3997 in binary?
111110011101 (hexadecimal F9D, octal 7635).
What is the square root of 3997?
About 63.2218.
What is 3997 in Roman numerals?
MMMCMXCVII.
Is 3997 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 3997?
3997 is a semiprime: 7 × 571, the product of two primes.