The number 87777
87777 is a composite number with 8 divisors. Its prime factorisation is × 3251. Divisors (8): 1, 3, 9, 27, 3251, 9753, 29259, 87777.
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How to work it out
- 1
87777 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87777 is composite. Its prime factorisation is
- 3
The divisors add up to 130080; without 87777 itself that is 42303, so 87777 is deficient (42303 is less than 87777). Euler's totient φ(87777) = 58500 numbers up to 87777 share no factor with it.
- 4
The digits of 87777 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 195 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87777 = 3^{3} \times 3251 \]87777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 130080 |
| Euler totient φ(n) | 58500 |
| Square | 7704801729 |
| Cube | 676304381366433 |
| Square root | 296.271835 (= 3√9753) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 195 |
| Scientific notation | 8.7777 × |
87777 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand seven hundred and seventy-seven |
| Binary (base 2) | 10101011011100001 |
| Octal (base 8) | 253341 |
| Hexadecimal (base 16) | 156E1 |
| Base 3 | 11110102000 |
| As time | 87777 seconds = 24 h 22 min 57 s |
Is 87777 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 (87777 ÷ 3 = 29259) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87777 ÷ 9 = 9753) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87777 a prime number?
No. 87777 = × 3251, so it is divisible by 3.
What are the factors of 87777?
1, 3, 9, 27, 3251, 9753, 29259, 87777.
What is 87777 in binary?
10101011011100001 (hexadecimal 156E1, octal 253341).
What is the square root of 87777?
About 296.2718, exactly 3√9753.
Is 87777 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87777?
It is a composite number with 8 divisors.