The number 7668
7668 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284 … 7668.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7668: a Harshad number: divisible by its digit sum 27.
- 2
7668 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 7668 itself that is 12492, so 7668 is abundant (12492 is more than 7668). Euler's totient φ(7668) = 2520 numbers up to 7668 share no factor with it.
- 4
The digits of 7668 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7668 = 2^{2} \times 3^{3} \times 71 \]7668 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 2520 |
| Square | 58798224 |
| Cube | 450864781632 |
| Square root | 87.567117 (= 6√213) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.668 × |
7668 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and sixty-eight |
| Binary (base 2) | 1110111110100 |
| Octal (base 8) | 16764 |
| Hexadecimal (base 16) | 1DF4 |
| Base 3 | 101112000 |
| As time | 7668 seconds = 2 h 7 min 48 s |
Is 7668 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7668 ÷ 2 = 3834) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7668 ÷ 3 = 2556) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7668 ÷ 4 = 1917) | 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 | Yes (7668 ÷ 6 = 1278) | 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 | Yes (7668 ÷ 9 = 852) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7668 ÷ 12 = 639) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7668 a prime number?
No. 7668 = × × 71, so it is divisible by 2.
What are the factors of 7668?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668.
What is 7668 in binary?
1110111110100 (hexadecimal 1DF4, octal 16764).
What is the square root of 7668?
About 87.5671, exactly 6√213.
Is 7668 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 7668?
7668 is a Harshad number: divisible by its digit sum 27.