The number 36080
36080 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 41. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 41, 44, 55, 80, 82 … 36080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36080 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 36080 itself that is 57664, so 36080 is abundant (57664 is more than 36080). Euler's totient φ(36080) = 12800 numbers up to 36080 share no factor with it.
- 4
The digits of 36080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36080 = 2^{4} \times 5 \times 11 \times 41 \]36080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 12800 |
| Square | 1301766400 |
| Cube | 46967731712000 |
| Square root | 189.947361 (= 4√2255) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.608 × |
36080 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and eighty |
| Binary (base 2) | 1000110011110000 |
| Octal (base 8) | 106360 |
| Hexadecimal (base 16) | 8CF0 |
| Base 3 | 1211111022 |
| As time | 36080 seconds = 10 h 1 min 20 s |
Is 36080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36080 ÷ 2 = 18040) | 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 (36080 ÷ 4 = 9020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36080 ÷ 5 = 7216) | 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 2) | 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 (36080 ÷ 8 = 4510) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36080 ÷ 10 = 3608) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (36080 ÷ 11 = 3280) | 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 36080 a prime number?
No. 36080 = × 5 × 11 × 41, so it is divisible by 2.
What are the factors of 36080?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 41, 44, 55, 80, 82, 88, 110, 164, 176, 205, 220, 328, 410, 440, 451, 656, 820, 880, 902, 1640, 1804, 2255, 3280, 3608, 4510, 7216, 9020, 18040, 36080.
What is 36080 in binary?
1000110011110000 (hexadecimal 8CF0, octal 106360).
What is the square root of 36080?
About 189.9474, exactly 4√2255.
Is 36080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 36080?
36080 is a happy number: repeatedly adding the squares of its digits reaches 1.