The number 33989
33989 is a composite number with 4 divisors. Its prime factorisation is 41 × 829. Divisors (4): 1, 41, 829, 33989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33989: a semiprime: 41 × 829, the product of two primes.
- 2
33989 is composite. Its prime factorisation is
- 3
The divisors add up to 34860; without 33989 itself that is 871, so 33989 is deficient (871 is less than 33989). Euler's totient φ(33989) = 33120 numbers up to 33989 share no factor with it.
- 4
The digits of 33989 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33989 = 41 \times 829 \]
33989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34860 |
| Euler totient φ(n) | 33120 |
| Square | 1155252121 |
| Cube | 39265864340669 |
| Square root | 184.361059 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3989 × |
33989 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-nine |
| Binary (base 2) | 1000010011000101 |
| Octal (base 8) | 102305 |
| Hexadecimal (base 16) | 84C5 |
| Base 3 | 1201121212 |
| As time | 33989 seconds = 9 h 26 min 29 s |
Is 33989 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33989 a prime number?
No. 33989 = 41 × 829, so it is divisible by 41.
What are the factors of 33989?
1, 41, 829, 33989.
What is 33989 in binary?
1000010011000101 (hexadecimal 84C5, octal 102305).
What is the square root of 33989?
About 184.3611.
Is 33989 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 33989?
33989 is a semiprime: 41 × 829, the product of two primes.