The number 3768
3768 is a composite number with 16 divisors. Its prime factorisation is × 3 × 157. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3768: a Harshad number: divisible by its digit sum 24.
- 2
3768 is composite. Its prime factorisation is
- 3
The divisors add up to 9480; without 3768 itself that is 5712, so 3768 is abundant (5712 is more than 3768). Euler's totient φ(3768) = 1248 numbers up to 3768 share no factor with it.
- 4
The digits of 3768 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3768 = 2^{3} \times 3 \times 157 \]3768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9480 |
| Euler totient φ(n) | 1248 |
| Square | 14197824 |
| Cube | 53497400832 |
| Square root | 61.384037 (= 2√942) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.768 × |
3768 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-eight |
| Roman numerals | MMMDCCLXVIII |
| Binary (base 2) | 111010111000 |
| Octal (base 8) | 7270 |
| Hexadecimal (base 16) | EB8 |
| Base 3 | 12011120 |
| As time | 3768 seconds = 1 h 2 min 48 s |
Is 3768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3768 ÷ 2 = 1884) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3768 ÷ 3 = 1256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3768 ÷ 4 = 942) | 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 (3768 ÷ 6 = 628) | 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 | Yes (3768 ÷ 8 = 471) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3768 ÷ 12 = 314) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3768 a prime number?
No. 3768 = × 3 × 157, so it is divisible by 2.
What are the factors of 3768?
1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768.
What is 3768 in binary?
111010111000 (hexadecimal EB8, octal 7270).
What is the square root of 3768?
About 61.3840, exactly 2√942.
What is 3768 in Roman numerals?
MMMDCCLXVIII.
Is 3768 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 3768?
3768 is a Harshad number: divisible by its digit sum 24.