The number 76772
76772 is a composite number with 12 divisors. Its prime factorisation is × 17 × 1129. Divisors (12): 1, 2, 4, 17, 34, 68, 1129, 2258, 4516, 19193, 38386, 76772.
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How to work it out
- 1
76772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76772 is composite. Its prime factorisation is
- 3
The divisors add up to 142380; without 76772 itself that is 65608, so 76772 is deficient (65608 is less than 76772). Euler's totient φ(76772) = 36096 numbers up to 76772 share no factor with it.
- 4
The digits of 76772 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76772 = 2^{2} \times 17 \times 1129 \]76772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142380 |
| Euler totient φ(n) | 36096 |
| Square | 5893939984 |
| Cube | 452489560451648 |
| Square root | 277.077606 (= 2√19193) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6772 × |
76772 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and seventy-two |
| Binary (base 2) | 10010101111100100 |
| Octal (base 8) | 225744 |
| Hexadecimal (base 16) | 12BE4 |
| Base 3 | 10220022102 |
| As time | 76772 seconds = 21 h 19 min 32 s |
Is 76772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76772 ÷ 2 = 38386) | 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 (76772 ÷ 4 = 19193) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 3) | 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 76772 a prime number?
No. 76772 = × 17 × 1129, so it is divisible by 2.
What are the factors of 76772?
1, 2, 4, 17, 34, 68, 1129, 2258, 4516, 19193, 38386, 76772.
What is 76772 in binary?
10010101111100100 (hexadecimal 12BE4, octal 225744).
What is the square root of 76772?
About 277.0776, exactly 2√19193.
Is 76772 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76772?
It is a composite number with 12 divisors.