The number 7678
7678 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 349. Divisors (8): 1, 2, 11, 22, 349, 698, 3839, 7678.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7678 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7678 is composite. Its prime factorisation is
- 3
The divisors add up to 12600; without 7678 itself that is 4922, so 7678 is deficient (4922 is less than 7678). Euler's totient φ(7678) = 3480 numbers up to 7678 share no factor with it.
- 4
The digits of 7678 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7678 = 2 \times 11 \times 349 \]
7678 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12600 |
| Euler totient φ(n) | 3480 |
| Square | 58951684 |
| Cube | 452631029752 |
| Square root | 87.624198 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 7.678 × |
7678 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and seventy-eight |
| Binary (base 2) | 1110111111110 |
| Octal (base 8) | 16776 |
| Hexadecimal (base 16) | 1DFE |
| Base 3 | 101112101 |
| As time | 7678 seconds = 2 h 7 min 58 s |
Is 7678 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7678 ÷ 2 = 3839) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7678 ÷ 11 = 698) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7678 a prime number?
No. 7678 = 2 × 11 × 349, so it is divisible by 2.
What are the factors of 7678?
1, 2, 11, 22, 349, 698, 3839, 7678.
What is 7678 in binary?
1110111111110 (hexadecimal 1DFE, octal 16776).
What is the square root of 7678?
About 87.6242.
Is 7678 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 7678?
It is a composite number with 8 divisors.