The number 38301
38301 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 751. Divisors (8): 1, 3, 17, 51, 751, 2253, 12767, 38301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38301 is composite. Its prime factorisation is
- 3
The divisors add up to 54144; without 38301 itself that is 15843, so 38301 is deficient (15843 is less than 38301). Euler's totient φ(38301) = 24000 numbers up to 38301 share no factor with it.
- 4
The digits of 38301 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38301 = 3 \times 17 \times 751 \]
38301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54144 |
| Euler totient φ(n) | 24000 |
| Square | 1466966601 |
| Cube | 56186287784901 |
| Square root | 195.706413 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8301 × |
38301 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and one |
| Binary (base 2) | 1001010110011101 |
| Octal (base 8) | 112635 |
| Hexadecimal (base 16) | 959D |
| Base 3 | 1221112120 |
| As time | 38301 seconds = 10 h 38 min 21 s |
Is 38301 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 (38301 ÷ 3 = 12767) | 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 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | 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 38301 a prime number?
No. 38301 = 3 × 17 × 751, so it is divisible by 3.
What are the factors of 38301?
1, 3, 17, 51, 751, 2253, 12767, 38301.
What is 38301 in binary?
1001010110011101 (hexadecimal 959D, octal 112635).
What is the square root of 38301?
About 195.7064.
Is 38301 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38301?
It is a composite number with 8 divisors.