The number 33998
33998 is a composite number with 8 divisors. Its prime factorisation is 2 × 89 × 191. Divisors (8): 1, 2, 89, 178, 191, 382, 16999, 33998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33998 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 33998 itself that is 17842, so 33998 is deficient (17842 is less than 33998). Euler's totient φ(33998) = 16720 numbers up to 33998 share no factor with it.
- 4
The digits of 33998 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33998 = 2 \times 89 \times 191 \]
33998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 16720 |
| Square | 1155864004 |
| Cube | 39297064407992 |
| Square root | 184.385466 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3998 × |
33998 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and ninety-eight |
| Binary (base 2) | 1000010011001110 |
| Octal (base 8) | 102316 |
| Hexadecimal (base 16) | 84CE |
| Base 3 | 1201122012 |
| As time | 33998 seconds = 9 h 26 min 38 s |
Is 33998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33998 ÷ 2 = 16999) | 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 | No (remainder 2) | 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 6) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33998 a prime number?
No. 33998 = 2 × 89 × 191, so it is divisible by 2.
What are the factors of 33998?
1, 2, 89, 178, 191, 382, 16999, 33998.
What is 33998 in binary?
1000010011001110 (hexadecimal 84CE, octal 102316).
What is the square root of 33998?
About 184.3855.
Is 33998 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 33998?
It is a composite number with 8 divisors.