The number 33550
33550 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 61. Divisors (24): 1, 2, 5, 10, 11, 22, 25, 50, 55, 61, 110, 122, 275, 305, 550, 610 … 33550.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33550: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33550 is composite. Its prime factorisation is
- 3
The divisors add up to 69192; without 33550 itself that is 35642, so 33550 is abundant (35642 is more than 33550). Euler's totient φ(33550) = 12000 numbers up to 33550 share no factor with it.
- 4
The digits of 33550 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33550 = 2 \times 5^{2} \times 11 \times 61 \]33550 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 69192 |
| Euler totient φ(n) | 12000 |
| Square | 1125602500 |
| Cube | 37763963875000 |
| Square root | 183.166591 (= 5√1342) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.355 × |
33550 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand five hundred and fifty |
| Binary (base 2) | 1000001100001110 |
| Octal (base 8) | 101416 |
| Hexadecimal (base 16) | 830E |
| Base 3 | 1201000121 |
| As time | 33550 seconds = 9 h 19 min 10 s |
Is 33550 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33550 ÷ 2 = 16775) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33550 ÷ 5 = 6710) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33550 ÷ 10 = 3355) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33550 ÷ 11 = 3050) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33550 a prime number?
No. 33550 = 2 × × 11 × 61, so it is divisible by 2.
What are the factors of 33550?
1, 2, 5, 10, 11, 22, 25, 50, 55, 61, 110, 122, 275, 305, 550, 610, 671, 1342, 1525, 3050, 3355, 6710, 16775, 33550.
What is 33550 in binary?
1000001100001110 (hexadecimal 830E, octal 101416).
What is the square root of 33550?
About 183.1666, exactly 5√1342.
Is 33550 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33550?
33550 is a happy number: repeatedly adding the squares of its digits reaches 1.