The number 3988
3988 is a composite number with 6 divisors. Its prime factorisation is × 997. Divisors (6): 1, 2, 4, 997, 1994, 3988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3988 is composite. Its prime factorisation is
- 3
The divisors add up to 6986; without 3988 itself that is 2998, so 3988 is deficient (2998 is less than 3988). Euler's totient φ(3988) = 1992 numbers up to 3988 share no factor with it.
- 4
The digits of 3988 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
\[ 3988 = 2^{2} \times 997 \]3988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6986 |
| Euler totient φ(n) | 1992 |
| Square | 15904144 |
| Cube | 63425726272 |
| Square root | 63.150614 (= 2√997) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.988 × |
3988 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and eighty-eight |
| Roman numerals | MMMCMLXXXVIII |
| Binary (base 2) | 111110010100 |
| Octal (base 8) | 7624 |
| Hexadecimal (base 16) | F94 |
| Base 3 | 12110201 |
| As time | 3988 seconds = 1 h 6 min 28 s |
Is 3988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3988 ÷ 2 = 1994) | 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 | Yes (3988 ÷ 4 = 997) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3988 a prime number?
No. 3988 = × 997, so it is divisible by 2.
What are the factors of 3988?
1, 2, 4, 997, 1994, 3988.
What is 3988 in binary?
111110010100 (hexadecimal F94, octal 7624).
What is the square root of 3988?
About 63.1506, exactly 2√997.
What is 3988 in Roman numerals?
MMMCMLXXXVIII.
Is 3988 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 3988?
It is a composite number with 6 divisors.