The number 77776
77776 is a composite number with 10 divisors. Its prime factorisation is × 4861. Divisors (10): 1, 2, 4, 8, 16, 4861, 9722, 19444, 38888, 77776.
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How to work it out
- 1
77776 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77776 is composite. Its prime factorisation is
- 3
The divisors add up to 150722; without 77776 itself that is 72946, so 77776 is deficient (72946 is less than 77776). Euler's totient φ(77776) = 38880 numbers up to 77776 share no factor with it.
- 4
The digits of 77776 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77776 = 2^{4} \times 4861 \]77776 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 150722 |
| Euler totient φ(n) | 38880 |
| Square | 6049106176 |
| Cube | 470475281944576 |
| Square root | 278.883488 (= 4√4861) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7776 × |
77776 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and seventy-six |
| Binary (base 2) | 10010111111010000 |
| Octal (base 8) | 227720 |
| Hexadecimal (base 16) | 12FD0 |
| Base 3 | 10221200121 |
| As time | 77776 seconds = 21 h 36 min 16 s |
Is 77776 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77776 ÷ 2 = 38888) | 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 (77776 ÷ 4 = 19444) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (77776 ÷ 8 = 9722) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 77776 a prime number?
No. 77776 = × 4861, so it is divisible by 2.
What are the factors of 77776?
1, 2, 4, 8, 16, 4861, 9722, 19444, 38888, 77776.
What is 77776 in binary?
10010111111010000 (hexadecimal 12FD0, octal 227720).
What is the square root of 77776?
About 278.8835, exactly 4√4861.
Is 77776 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 77776?
It is a composite number with 10 divisors.