The number 76180
76180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 293. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 293, 586, 1172, 1465 … 76180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76180 is composite. Its prime factorisation is
- 3
The divisors add up to 172872; without 76180 itself that is 96692, so 76180 is abundant (96692 is more than 76180). Euler's totient φ(76180) = 28032 numbers up to 76180 share no factor with it.
- 4
The digits of 76180 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76180 = 2^{2} \times 5 \times 13 \times 293 \]76180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172872 |
| Euler totient φ(n) | 28032 |
| Square | 5803392400 |
| Cube | 442102433032000 |
| Square root | 276.007246 (= 2√19045) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.618 × |
76180 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and eighty |
| Binary (base 2) | 10010100110010100 |
| Octal (base 8) | 224624 |
| Hexadecimal (base 16) | 12994 |
| Base 3 | 10212111111 |
| As time | 76180 seconds = 21 h 9 min 40 s |
Is 76180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76180 ÷ 2 = 38090) | 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 | Yes (76180 ÷ 4 = 19045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76180 ÷ 5 = 15236) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76180 ÷ 10 = 7618) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76180 a prime number?
No. 76180 = × 5 × 13 × 293, so it is divisible by 2.
What are the factors of 76180?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 293, 586, 1172, 1465, 2930, 3809, 5860, 7618, 15236, 19045, 38090, 76180.
What is 76180 in binary?
10010100110010100 (hexadecimal 12994, octal 224624).
What is the square root of 76180?
About 276.0072, exactly 2√19045.
Is 76180 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76180?
It is a composite number with 24 divisors.