The number 33990
33990 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 103. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 103, 110, 165 … 33990.
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How to work it out
- 1
33990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33990 is composite. Its prime factorisation is
- 3
The divisors add up to 89856; without 33990 itself that is 55866, so 33990 is abundant (55866 is more than 33990). Euler's totient φ(33990) = 8160 numbers up to 33990 share no factor with it.
- 4
The digits of 33990 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33990 = 2 \times 3 \times 5 \times 11 \times 103 \]
33990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 89856 |
| Euler totient φ(n) | 8160 |
| Square | 1155320100 |
| Cube | 39269330199000 |
| Square root | 184.363771 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.399 × |
33990 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and ninety |
| Binary (base 2) | 1000010011000110 |
| Octal (base 8) | 102306 |
| Hexadecimal (base 16) | 84C6 |
| Base 3 | 1201121220 |
| As time | 33990 seconds = 9 h 26 min 30 s |
Is 33990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33990 ÷ 2 = 16995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33990 ÷ 3 = 11330) | 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 | Yes (33990 ÷ 5 = 6798) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33990 ÷ 6 = 5665) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33990 ÷ 10 = 3399) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33990 ÷ 11 = 3090) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33990 a prime number?
No. 33990 = 2 × 3 × 5 × 11 × 103, so it is divisible by 2.
What are the factors of 33990?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 103, 110, 165, 206, 309, 330, 515, 618, 1030, 1133, 1545, 2266, 3090, 3399, 5665, 6798, 11330, 16995, 33990.
What is 33990 in binary?
1000010011000110 (hexadecimal 84C6, octal 102306).
What is the square root of 33990?
About 184.3638.
Is 33990 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33990?
It is a composite number with 32 divisors.