The number 1768
1768 is a composite number with 16 divisors. Its prime factorisation is × 13 × 17. Divisors (16): 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1768 is composite. Its prime factorisation is
- 3
The divisors add up to 3780; without 1768 itself that is 2012, so 1768 is abundant (2012 is more than 1768). Euler's totient φ(1768) = 768 numbers up to 1768 share no factor with it.
- 4
The digits of 1768 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1768 = 2^{3} \times 13 \times 17 \]1768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 3780 |
| Euler totient φ(n) | 768 |
| Square | 3125824 |
| Cube | 5526456832 |
| Square root | 42.047592 (= 2√442) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.768 × |
1768 in other forms
| Form | Value |
|---|---|
| In words | one thousand seven hundred and sixty-eight |
| Roman numerals | MDCCLXVIII |
| Binary (base 2) | 11011101000 |
| Octal (base 8) | 3350 |
| Hexadecimal (base 16) | 6E8 |
| Base 3 | 2102111 |
| As time | 1768 seconds = 29 min 28 s |
Is 1768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1768 ÷ 2 = 884) | 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 | Yes (1768 ÷ 4 = 442) | 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 4) | 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 | Yes (1768 ÷ 8 = 221) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1768 a prime number?
No. 1768 = × 13 × 17, so it is divisible by 2.
What are the factors of 1768?
1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768.
What is 1768 in binary?
11011101000 (hexadecimal 6E8, octal 3350).
What is the square root of 1768?
About 42.0476, exactly 2√442.
What is 1768 in Roman numerals?
MDCCLXVIII.
Is 1768 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 1768?
It is a composite number with 16 divisors.