The number 77055
77055 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 11 × 467. Divisors (16): 1, 3, 5, 11, 15, 33, 55, 165, 467, 1401, 2335, 5137, 7005, 15411, 25685, 77055.
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How to work it out
- 1
77055 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77055 is composite. Its prime factorisation is
- 3
The divisors add up to 134784; without 77055 itself that is 57729, so 77055 is deficient (57729 is less than 77055). Euler's totient φ(77055) = 37280 numbers up to 77055 share no factor with it.
- 4
The digits of 77055 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77055 = 3 \times 5 \times 11 \times 467 \]
77055 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134784 |
| Euler totient φ(n) | 37280 |
| Square | 5937473025 |
| Cube | 457511983941375 |
| Square root | 277.587824 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.7055 × |
77055 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and fifty-five |
| Binary (base 2) | 10010110011111111 |
| Octal (base 8) | 226377 |
| Hexadecimal (base 16) | 12CFF |
| Base 3 | 10220200220 |
| As time | 77055 seconds = 21 h 24 min 15 s |
Is 77055 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77055 ÷ 3 = 25685) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77055 ÷ 5 = 15411) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77055 ÷ 11 = 7005) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77055 a prime number?
No. 77055 = 3 × 5 × 11 × 467, so it is divisible by 3.
What are the factors of 77055?
1, 3, 5, 11, 15, 33, 55, 165, 467, 1401, 2335, 5137, 7005, 15411, 25685, 77055.
What is 77055 in binary?
10010110011111111 (hexadecimal 12CFF, octal 226377).
What is the square root of 77055?
About 277.5878.
Is 77055 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77055?
It is a composite number with 16 divisors.