The number 3787
3787 is a composite number with 4 divisors. Its prime factorisation is 7 × 541. Divisors (4): 1, 7, 541, 3787.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3787: a semiprime: 7 × 541, the product of two primes.
- 2
3787 is composite. Its prime factorisation is
- 3
The divisors add up to 4336; without 3787 itself that is 549, so 3787 is deficient (549 is less than 3787). Euler's totient φ(3787) = 3240 numbers up to 3787 share no factor with it.
- 4
The digits of 3787 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3787 = 7 \times 541 \]
3787 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4336 |
| Euler totient φ(n) | 3240 |
| Square | 14341369 |
| Cube | 54310764403 |
| Square root | 61.538606 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.787 × |
3787 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and eighty-seven |
| Roman numerals | MMMDCCLXXXVII |
| Binary (base 2) | 111011001011 |
| Octal (base 8) | 7313 |
| Hexadecimal (base 16) | ECB |
| Base 3 | 12012021 |
| As time | 3787 seconds = 1 h 3 min 7 s |
Is 3787 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3787 ÷ 7 = 541) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3787 a prime number?
No. 3787 = 7 × 541, so it is divisible by 7.
What are the factors of 3787?
1, 7, 541, 3787.
What is 3787 in binary?
111011001011 (hexadecimal ECB, octal 7313).
What is the square root of 3787?
About 61.5386.
What is 3787 in Roman numerals?
MMMDCCLXXXVII.
Is 3787 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 3787?
3787 is a semiprime: 7 × 541, the product of two primes.