The number 76080
76080 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 317. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 76080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76080 is composite. Its prime factorisation is
- 3
The divisors add up to 236592; without 76080 itself that is 160512, so 76080 is abundant (160512 is more than 76080). Euler's totient φ(76080) = 20224 numbers up to 76080 share no factor with it.
- 4
The digits of 76080 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76080 = 2^{4} \times 3 \times 5 \times 317 \]76080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 236592 |
| Euler totient φ(n) | 20224 |
| Square | 5788166400 |
| Cube | 440363699712000 |
| Square root | 275.826032 (= 4√4755) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.608 × |
76080 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and eighty |
| Binary (base 2) | 10010100100110000 |
| Octal (base 8) | 224460 |
| Hexadecimal (base 16) | 12930 |
| Base 3 | 10212100210 |
| As time | 76080 seconds = 21 h 8 min 0 s |
Is 76080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76080 ÷ 2 = 38040) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76080 ÷ 3 = 25360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76080 ÷ 4 = 19020) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76080 ÷ 5 = 15216) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (76080 ÷ 6 = 12680) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (76080 ÷ 8 = 9510) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76080 ÷ 10 = 7608) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76080 ÷ 12 = 6340) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76080 a prime number?
No. 76080 = × 3 × 5 × 317, so it is divisible by 2.
What are the factors of 76080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 5072, 6340, 7608, 9510, 12680, 15216, 19020, 25360, 38040, 76080.
What is 76080 in binary?
10010100100110000 (hexadecimal 12930, octal 224460).
What is the square root of 76080?
About 275.8260, exactly 4√4755.
Is 76080 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76080?
It is a composite number with 40 divisors.