The number 3783
3783 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 97. Divisors (8): 1, 3, 13, 39, 97, 291, 1261, 3783.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3783 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3783 is composite. Its prime factorisation is
- 3
The divisors add up to 5488; without 3783 itself that is 1705, so 3783 is deficient (1705 is less than 3783). Euler's totient φ(3783) = 2304 numbers up to 3783 share no factor with it.
- 4
The digits of 3783 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3783 = 3 \times 13 \times 97 \]
3783 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5488 |
| Euler totient φ(n) | 2304 |
| Square | 14311089 |
| Cube | 54138849687 |
| Square root | 61.506097 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.783 × |
3783 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-three |
| Roman numerals | MMMDCCLXXXIII |
| Binary (base 2) | 111011000111 |
| Octal (base 8) | 7307 |
| Hexadecimal (base 16) | EC7 |
| Base 3 | 12012010 |
| As time | 3783 seconds = 1 h 3 min 3 s |
Is 3783 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3783 ÷ 3 = 1261) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3783 a prime number?
No. 3783 = 3 × 13 × 97, so it is divisible by 3.
What are the factors of 3783?
1, 3, 13, 39, 97, 291, 1261, 3783.
What is 3783 in binary?
111011000111 (hexadecimal EC7, octal 7307).
What is the square root of 3783?
About 61.5061.
What is 3783 in Roman numerals?
MMMDCCLXXXIII.
Is 3783 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3783?
It is a composite number with 8 divisors.