The number 38801
38801 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 241. Divisors (8): 1, 7, 23, 161, 241, 1687, 5543, 38801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38801 is composite. Its prime factorisation is
- 3
The divisors add up to 46464; without 38801 itself that is 7663, so 38801 is deficient (7663 is less than 38801). Euler's totient φ(38801) = 31680 numbers up to 38801 share no factor with it.
- 4
The digits of 38801 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38801 = 7 \times 23 \times 241 \]
38801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46464 |
| Euler totient φ(n) | 31680 |
| Square | 1505517601 |
| Cube | 58415588436401 |
| Square root | 196.979694 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.8801 × |
38801 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and one |
| Binary (base 2) | 1001011110010001 |
| Octal (base 8) | 113621 |
| Hexadecimal (base 16) | 9791 |
| Base 3 | 1222020002 |
| As time | 38801 seconds = 10 h 46 min 41 s |
Is 38801 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38801 ÷ 7 = 5543) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38801 a prime number?
No. 38801 = 7 × 23 × 241, so it is divisible by 7.
What are the factors of 38801?
1, 7, 23, 161, 241, 1687, 5543, 38801.
What is 38801 in binary?
1001011110010001 (hexadecimal 9791, octal 113621).
What is the square root of 38801?
About 196.9797.
Is 38801 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38801?
It is a composite number with 8 divisors.