The number 33080
33080 is a composite number with 16 divisors. Its prime factorisation is × 5 × 827. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 827, 1654, 3308, 4135, 6616, 8270, 16540, 33080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33080 is composite. Its prime factorisation is
- 3
The divisors add up to 74520; without 33080 itself that is 41440, so 33080 is abundant (41440 is more than 33080). Euler's totient φ(33080) = 13216 numbers up to 33080 share no factor with it.
- 4
The digits of 33080 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33080 = 2^{3} \times 5 \times 827 \]33080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74520 |
| Euler totient φ(n) | 13216 |
| Square | 1094286400 |
| Cube | 36198994112000 |
| Square root | 181.879081 (= 2√8270) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.308 × |
33080 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and eighty |
| Binary (base 2) | 1000000100111000 |
| Octal (base 8) | 100470 |
| Hexadecimal (base 16) | 8138 |
| Base 3 | 1200101012 |
| As time | 33080 seconds = 9 h 11 min 20 s |
Is 33080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33080 ÷ 2 = 16540) | 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 | Yes (33080 ÷ 4 = 8270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33080 ÷ 5 = 6616) | 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 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 | Yes (33080 ÷ 8 = 4135) | 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 | Yes (33080 ÷ 10 = 3308) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33080 a prime number?
No. 33080 = × 5 × 827, so it is divisible by 2.
What are the factors of 33080?
1, 2, 4, 5, 8, 10, 20, 40, 827, 1654, 3308, 4135, 6616, 8270, 16540, 33080.
What is 33080 in binary?
1000000100111000 (hexadecimal 8138, octal 100470).
What is the square root of 33080?
About 181.8791, exactly 2√8270.
Is 33080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33080?
33080 is a happy number: repeatedly adding the squares of its digits reaches 1.