The number 77888
77888 is a composite number with 14 divisors. Its prime factorisation is × 1217. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1217, 2434, 4868, 9736, 19472, 38944, 77888.
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How to work it out
- 1
77888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77888 is composite. Its prime factorisation is
- 3
The divisors add up to 154686; without 77888 itself that is 76798, so 77888 is deficient (76798 is less than 77888). Euler's totient φ(77888) = 38912 numbers up to 77888 share no factor with it.
- 4
The digits of 77888 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77888 = 2^{6} \times 1217 \]77888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 154686 |
| Euler totient φ(n) | 38912 |
| Square | 6066540544 |
| Cube | 472510709891072 |
| Square root | 279.084217 (= 8√1217) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7888 × |
77888 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 10011000001000000 |
| Octal (base 8) | 230100 |
| Hexadecimal (base 16) | 13040 |
| Base 3 | 10221211202 |
| As time | 77888 seconds = 21 h 38 min 8 s |
Is 77888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77888 ÷ 2 = 38944) | 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 (77888 ÷ 4 = 19472) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 | Yes (77888 ÷ 8 = 9736) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77888 a prime number?
No. 77888 = × 1217, so it is divisible by 2.
What are the factors of 77888?
1, 2, 4, 8, 16, 32, 64, 1217, 2434, 4868, 9736, 19472, 38944, 77888.
What is 77888 in binary?
10011000001000000 (hexadecimal 13040, octal 230100).
What is the square root of 77888?
About 279.0842, exactly 8√1217.
Is 77888 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 77888?
It is a composite number with 14 divisors.