The number 7772
7772 is a composite number with 12 divisors. Its prime factorisation is × 29 × 67. Divisors (12): 1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772.
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How to work it out
- 1
7772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7772 is composite. Its prime factorisation is
- 3
The divisors add up to 14280; without 7772 itself that is 6508, so 7772 is deficient (6508 is less than 7772). Euler's totient φ(7772) = 3696 numbers up to 7772 share no factor with it.
- 4
The digits of 7772 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7772 = 2^{2} \times 29 \times 67 \]7772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14280 |
| Euler totient φ(n) | 3696 |
| Square | 60403984 |
| Cube | 469459763648 |
| Square root | 88.158947 (= 2√1943) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.772 × |
7772 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and seventy-two |
| Binary (base 2) | 1111001011100 |
| Octal (base 8) | 17134 |
| Hexadecimal (base 16) | 1E5C |
| Base 3 | 101122212 |
| As time | 7772 seconds = 2 h 9 min 32 s |
Is 7772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7772 ÷ 2 = 3886) | 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 (7772 ÷ 4 = 1943) | 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 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 5) | 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 6) | 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 7772 a prime number?
No. 7772 = × 29 × 67, so it is divisible by 2.
What are the factors of 7772?
1, 2, 4, 29, 58, 67, 116, 134, 268, 1943, 3886, 7772.
What is 7772 in binary?
1111001011100 (hexadecimal 1E5C, octal 17134).
What is the square root of 7772?
About 88.1589, exactly 2√1943.
Is 7772 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7772?
It is a composite number with 12 divisors.