The number 77772
77772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6481. Divisors (12): 1, 2, 3, 4, 6, 12, 6481, 12962, 19443, 25924, 38886, 77772.
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How to work it out
- 1
77772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77772 is composite. Its prime factorisation is
- 3
The divisors add up to 181496; without 77772 itself that is 103724, so 77772 is abundant (103724 is more than 77772). Euler's totient φ(77772) = 25920 numbers up to 77772 share no factor with it.
- 4
The digits of 77772 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77772 = 2^{2} \times 3 \times 6481 \]77772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 181496 |
| Euler totient φ(n) | 25920 |
| Square | 6048483984 |
| Cube | 470402696403648 |
| Square root | 278.876317 (= 2√19443) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7772 × |
77772 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and seventy-two |
| Binary (base 2) | 10010111111001100 |
| Octal (base 8) | 227714 |
| Hexadecimal (base 16) | 12FCC |
| Base 3 | 10221200110 |
| As time | 77772 seconds = 21 h 36 min 12 s |
Is 77772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77772 ÷ 2 = 38886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77772 ÷ 3 = 25924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77772 ÷ 4 = 19443) | 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 | Yes (77772 ÷ 6 = 12962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77772 ÷ 12 = 6481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77772 a prime number?
No. 77772 = × 3 × 6481, so it is divisible by 2.
What are the factors of 77772?
1, 2, 3, 4, 6, 12, 6481, 12962, 19443, 25924, 38886, 77772.
What is 77772 in binary?
10010111111001100 (hexadecimal 12FCC, octal 227714).
What is the square root of 77772?
About 278.8763, exactly 2√19443.
Is 77772 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 77772?
It is a composite number with 12 divisors.