The number 3807
3807 is a composite number with 10 divisors. Its prime factorisation is × 47. Divisors (10): 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3807 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3807 is composite. Its prime factorisation is
- 3
The divisors add up to 5808; without 3807 itself that is 2001, so 3807 is deficient (2001 is less than 3807). Euler's totient φ(3807) = 2484 numbers up to 3807 share no factor with it.
- 4
The digits of 3807 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3807 = 3^{4} \times 47 \]3807 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 5808 |
| Euler totient φ(n) | 2484 |
| Square | 14493249 |
| Cube | 55175798943 |
| Square root | 61.700891 (= 9√47) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.807 × |
3807 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and seven |
| Roman numerals | MMMDCCCVII |
| Binary (base 2) | 111011011111 |
| Octal (base 8) | 7337 |
| Hexadecimal (base 16) | EDF |
| Base 3 | 12020000 |
| As time | 3807 seconds = 1 h 3 min 27 s |
Is 3807 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 (3807 ÷ 3 = 1269) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (3807 ÷ 9 = 423) | 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 1) | 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 3807 a prime number?
No. 3807 = × 47, so it is divisible by 3.
What are the factors of 3807?
1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807.
What is 3807 in binary?
111011011111 (hexadecimal EDF, octal 7337).
What is the square root of 3807?
About 61.7009, exactly 9√47.
What is 3807 in Roman numerals?
MMMDCCCVII.
Is 3807 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 3807?
It is a composite number with 10 divisors.