The number 7730
7730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 773. Divisors (8): 1, 2, 5, 10, 773, 1546, 3865, 7730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7730 is composite. Its prime factorisation is
- 3
The divisors add up to 13932; without 7730 itself that is 6202, so 7730 is deficient (6202 is less than 7730). Euler's totient φ(7730) = 3088 numbers up to 7730 share no factor with it.
- 4
The digits of 7730 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7730 = 2 \times 5 \times 773 \]
7730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13932 |
| Euler totient φ(n) | 3088 |
| Square | 59752900 |
| Cube | 461889917000 |
| Square root | 87.920419 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 7.73 × |
7730 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and thirty |
| Binary (base 2) | 1111000110010 |
| Octal (base 8) | 17062 |
| Hexadecimal (base 16) | 1E32 |
| Base 3 | 101121022 |
| As time | 7730 seconds = 2 h 8 min 50 s |
Is 7730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7730 ÷ 2 = 3865) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7730 ÷ 5 = 1546) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7730 ÷ 10 = 773) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7730 a prime number?
No. 7730 = 2 × 5 × 773, so it is divisible by 2.
What are the factors of 7730?
1, 2, 5, 10, 773, 1546, 3865, 7730.
What is 7730 in binary?
1111000110010 (hexadecimal 1E32, octal 17062).
What is the square root of 7730?
About 87.9204.
Is 7730 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7730?
It is a composite number with 8 divisors.