The number 33988
33988 is a composite number with 12 divisors. Its prime factorisation is × 29 × 293. Divisors (12): 1, 2, 4, 29, 58, 116, 293, 586, 1172, 8497, 16994, 33988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33988 is composite. Its prime factorisation is
- 3
The divisors add up to 61740; without 33988 itself that is 27752, so 33988 is deficient (27752 is less than 33988). Euler's totient φ(33988) = 16352 numbers up to 33988 share no factor with it.
- 4
The digits of 33988 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33988 = 2^{2} \times 29 \times 293 \]33988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 61740 |
| Euler totient φ(n) | 16352 |
| Square | 1155184144 |
| Cube | 39262398686272 |
| Square root | 184.358347 (= 2√8497) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3988 × |
33988 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-eight |
| Binary (base 2) | 1000010011000100 |
| Octal (base 8) | 102304 |
| Hexadecimal (base 16) | 84C4 |
| Base 3 | 1201121211 |
| As time | 33988 seconds = 9 h 26 min 28 s |
Is 33988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33988 ÷ 2 = 16994) | 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 (33988 ÷ 4 = 8497) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 33988 a prime number?
No. 33988 = × 29 × 293, so it is divisible by 2.
What are the factors of 33988?
1, 2, 4, 29, 58, 116, 293, 586, 1172, 8497, 16994, 33988.
What is 33988 in binary?
1000010011000100 (hexadecimal 84C4, octal 102304).
What is the square root of 33988?
About 184.3583, exactly 2√8497.
Is 33988 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 33988?
It is a composite number with 12 divisors.