The number 3788
3788 is a composite number with 6 divisors. Its prime factorisation is × 947. Divisors (6): 1, 2, 4, 947, 1894, 3788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3788 is composite. Its prime factorisation is
- 3
The divisors add up to 6636; without 3788 itself that is 2848, so 3788 is deficient (2848 is less than 3788). Euler's totient φ(3788) = 1892 numbers up to 3788 share no factor with it.
- 4
The digits of 3788 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3788 = 2^{2} \times 947 \]3788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 6636 |
| Euler totient φ(n) | 1892 |
| Square | 14348944 |
| Cube | 54353799872 |
| Square root | 61.546730 (= 2√947) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.788 × |
3788 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-eight |
| Roman numerals | MMMDCCLXXXVIII |
| Binary (base 2) | 111011001100 |
| Octal (base 8) | 7314 |
| Hexadecimal (base 16) | ECC |
| Base 3 | 12012022 |
| As time | 3788 seconds = 1 h 3 min 8 s |
Is 3788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3788 ÷ 2 = 1894) | 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 | Yes (3788 ÷ 4 = 947) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 8) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3788 a prime number?
No. 3788 = × 947, so it is divisible by 2.
What are the factors of 3788?
1, 2, 4, 947, 1894, 3788.
What is 3788 in binary?
111011001100 (hexadecimal ECC, octal 7314).
What is the square root of 3788?
About 61.5467, exactly 2√947.
What is 3788 in Roman numerals?
MMMDCCLXXXVIII.
Is 3788 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 3788?
It is a composite number with 6 divisors.