The number 80360
80360 is a composite number with 48 divisors. Its prime factorisation is × 5 × × 41. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 49, 56, 70 … 80360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80360: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80360 is composite. Its prime factorisation is
- 3
The divisors add up to 215460; without 80360 itself that is 135100, so 80360 is abundant (135100 is more than 80360). Euler's totient φ(80360) = 26880 numbers up to 80360 share no factor with it.
- 4
The digits of 80360 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80360 = 2^{3} \times 5 \times 7^{2} \times 41 \]80360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 215460 |
| Euler totient φ(n) | 26880 |
| Square | 6457729600 |
| Cube | 518943150656000 |
| Square root | 283.478394 (= 14√410) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.036 × |
80360 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and sixty |
| Binary (base 2) | 10011100111101000 |
| Octal (base 8) | 234750 |
| Hexadecimal (base 16) | 139E8 |
| Base 3 | 11002020022 |
| As time | 80360 seconds = 22 h 19 min 20 s |
Is 80360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80360 ÷ 2 = 40180) | 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 (80360 ÷ 4 = 20090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80360 ÷ 5 = 16072) | 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 | Yes (80360 ÷ 7 = 11480) | 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 (80360 ÷ 8 = 10045) | 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 (80360 ÷ 10 = 8036) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 80360 a prime number?
No. 80360 = × 5 × × 41, so it is divisible by 2.
What are the factors of 80360?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 41, 49, 56, 70, 82, 98, 140, 164, 196, 205, 245, 280, 287, 328, 392, 410, 490, 574, 820, 980, 1148, 1435, 1640, 1960, 2009, 2296, 2870, 4018, 5740, 8036, 10045, 11480, 16072, 20090, 40180, 80360.
What is 80360 in binary?
10011100111101000 (hexadecimal 139E8, octal 234750).
What is the square root of 80360?
About 283.4784, exactly 14√410.
Is 80360 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80360?
80360 is a happy number: repeatedly adding the squares of its digits reaches 1.