The number 772
772 is a composite number with 6 divisors. Its prime factorisation is × 193. Divisors (6): 1, 2, 4, 193, 386, 772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
772 is composite. Its prime factorisation is
- 3
The divisors add up to 1358; without 772 itself that is 586, so 772 is deficient (586 is less than 772). Euler's totient φ(772) = 384 numbers up to 772 share no factor with it.
- 4
The digits of 772 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 772 = 2^{2} \times 193 \]772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1358 |
| Euler totient φ(n) | 384 |
| Square | 595984 |
| Cube | 460099648 |
| Square root | 27.784888 (= 2√193) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.72 × |
772 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and seventy-two |
| Roman numerals | DCCLXXII |
| Binary (base 2) | 1100000100 |
| Octal (base 8) | 1404 |
| Hexadecimal (base 16) | 304 |
| Base 3 | 1001121 |
| As time | 772 seconds = 12 min 52 s |
Is 772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (772 ÷ 2 = 386) | 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 (772 ÷ 4 = 193) | 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 4) | 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 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 772 a prime number?
No. 772 = × 193, so it is divisible by 2.
What are the factors of 772?
1, 2, 4, 193, 386, 772.
What is 772 in binary?
1100000100 (hexadecimal 304, octal 1404).
What is the square root of 772?
About 27.7849, exactly 2√193.
What is 772 in Roman numerals?
DCCLXXII.
Is 772 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 772?
It is a composite number with 6 divisors.