The number 7988
7988 is a composite number with 6 divisors. Its prime factorisation is × 1997. Divisors (6): 1, 2, 4, 1997, 3994, 7988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7988 is composite. Its prime factorisation is
- 3
The divisors add up to 13986; without 7988 itself that is 5998, so 7988 is deficient (5998 is less than 7988). Euler's totient φ(7988) = 3992 numbers up to 7988 share no factor with it.
- 4
The digits of 7988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7988 = 2^{2} \times 1997 \]7988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13986 |
| Euler totient φ(n) | 3992 |
| Square | 63808144 |
| Cube | 509699454272 |
| Square root | 89.375612 (= 2√1997) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.988 × |
7988 in other forms
| Form | Value |
|---|---|
| In words | seven thousand nine hundred and eighty-eight |
| Binary (base 2) | 1111100110100 |
| Octal (base 8) | 17464 |
| Hexadecimal (base 16) | 1F34 |
| Base 3 | 101221212 |
| As time | 7988 seconds = 2 h 13 min 8 s |
Is 7988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7988 ÷ 2 = 3994) | 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 | Yes (7988 ÷ 4 = 1997) | 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 2) | 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 4) | 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 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7988 a prime number?
No. 7988 = × 1997, so it is divisible by 2.
What are the factors of 7988?
1, 2, 4, 1997, 3994, 7988.
What is 7988 in binary?
1111100110100 (hexadecimal 1F34, octal 17464).
What is the square root of 7988?
About 89.3756, exactly 2√1997.
Is 7988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 7988?
It is a composite number with 6 divisors.