The number 3801
3801 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 181. Divisors (8): 1, 3, 7, 21, 181, 543, 1267, 3801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3801 is composite. Its prime factorisation is
- 3
The divisors add up to 5824; without 3801 itself that is 2023, so 3801 is deficient (2023 is less than 3801). Euler's totient φ(3801) = 2160 numbers up to 3801 share no factor with it.
- 4
The digits of 3801 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3801 = 3 \times 7 \times 181 \]
3801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5824 |
| Euler totient φ(n) | 2160 |
| Square | 14447601 |
| Cube | 54915331401 |
| Square root | 61.652251 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 30 |
| Scientific notation | 3.801 × |
3801 in other forms
| Form | Value |
|---|---|
| In words | three thousand eight hundred and one |
| Roman numerals | MMMDCCCI |
| Binary (base 2) | 111011011001 |
| Octal (base 8) | 7331 |
| Hexadecimal (base 16) | ED9 |
| Base 3 | 12012210 |
| As time | 3801 seconds = 1 h 3 min 21 s |
Is 3801 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 (3801 ÷ 3 = 1267) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (3801 ÷ 7 = 543) | 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 1) | 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 1) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3801 a prime number?
No. 3801 = 3 × 7 × 181, so it is divisible by 3.
What are the factors of 3801?
1, 3, 7, 21, 181, 543, 1267, 3801.
What is 3801 in binary?
111011011001 (hexadecimal ED9, octal 7331).
What is the square root of 3801?
About 61.6523.
What is 3801 in Roman numerals?
MMMDCCCI.
Is 3801 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 3801?
It is a composite number with 8 divisors.