The number 988
988 is a composite number with 12 divisors. Its prime factorisation is × 13 × 19. Divisors (12): 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
988 is composite. Its prime factorisation is
- 3
The divisors add up to 1960; without 988 itself that is 972, so 988 is deficient (972 is less than 988). Euler's totient φ(988) = 432 numbers up to 988 share no factor with it.
- 4
The digits of 988 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 988 = 2^{2} \times 13 \times 19 \]988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1960 |
| Euler totient φ(n) | 432 |
| Square | 976144 |
| Cube | 964430272 |
| Square root | 31.432467 (= 2√247) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 9.88 × |
988 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and eighty-eight |
| Roman numerals | CMLXXXVIII |
| Binary (base 2) | 1111011100 |
| Octal (base 8) | 1734 |
| Hexadecimal (base 16) | 3DC |
| Base 3 | 1100121 |
| As time | 988 seconds = 16 min 28 s |
Is 988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (988 ÷ 2 = 494) | 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 (988 ÷ 4 = 247) | 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 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 7) | 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 9) | 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 988 a prime number?
No. 988 = × 13 × 19, so it is divisible by 2.
What are the factors of 988?
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988.
What is 988 in binary?
1111011100 (hexadecimal 3DC, octal 1734).
What is the square root of 988?
About 31.4325, exactly 2√247.
What is 988 in Roman numerals?
CMLXXXVIII.
Is 988 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 988?
It is a composite number with 12 divisors.