The number 77180
77180 is a composite number with 24 divisors. Its prime factorisation is × 5 × 17 × 227. Divisors (24): 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 227, 340, 454, 908, 1135 … 77180.
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How to work it out
- 1
77180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77180 is composite. Its prime factorisation is
- 3
The divisors add up to 172368; without 77180 itself that is 95188, so 77180 is abundant (95188 is more than 77180). Euler's totient φ(77180) = 28928 numbers up to 77180 share no factor with it.
- 4
The digits of 77180 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77180 = 2^{2} \times 5 \times 17 \times 227 \]77180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 172368 |
| Euler totient φ(n) | 28928 |
| Square | 5956752400 |
| Cube | 459742150232000 |
| Square root | 277.812887 (= 2√19295) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.718 × |
77180 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and eighty |
| Binary (base 2) | 10010110101111100 |
| Octal (base 8) | 226574 |
| Hexadecimal (base 16) | 12D7C |
| Base 3 | 10220212112 |
| As time | 77180 seconds = 21 h 26 min 20 s |
Is 77180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77180 ÷ 2 = 38590) | 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 (77180 ÷ 4 = 19295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77180 ÷ 5 = 15436) | 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 | No (remainder 4) | 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 (77180 ÷ 10 = 7718) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77180 a prime number?
No. 77180 = × 5 × 17 × 227, so it is divisible by 2.
What are the factors of 77180?
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 227, 340, 454, 908, 1135, 2270, 3859, 4540, 7718, 15436, 19295, 38590, 77180.
What is 77180 in binary?
10010110101111100 (hexadecimal 12D7C, octal 226574).
What is the square root of 77180?
About 277.8129, exactly 2√19295.
Is 77180 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77180?
It is a composite number with 24 divisors.