The number 38401
38401 is a composite number with 4 divisors. Its prime factorisation is 11 × 3491. Divisors (4): 1, 11, 3491, 38401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38401: a semiprime: 11 × 3491, the product of two primes.
- 2
38401 is composite. Its prime factorisation is
- 3
The divisors add up to 41904; without 38401 itself that is 3503, so 38401 is deficient (3503 is less than 38401). Euler's totient φ(38401) = 34900 numbers up to 38401 share no factor with it.
- 4
The digits of 38401 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38401 = 11 \times 3491 \]
38401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41904 |
| Euler totient φ(n) | 34900 |
| Square | 1474636801 |
| Cube | 56627527795201 |
| Square root | 195.961731 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8401 × |
38401 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and one |
| Binary (base 2) | 1001011000000001 |
| Octal (base 8) | 113001 |
| Hexadecimal (base 16) | 9601 |
| Base 3 | 1221200021 |
| As time | 38401 seconds = 10 h 40 min 1 s |
Is 38401 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 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 1) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38401 ÷ 11 = 3491) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38401 a prime number?
No. 38401 = 11 × 3491, so it is divisible by 11.
What are the factors of 38401?
1, 11, 3491, 38401.
What is 38401 in binary?
1001011000000001 (hexadecimal 9601, octal 113001).
What is the square root of 38401?
About 195.9617.
Is 38401 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38401?
38401 is a semiprime: 11 × 3491, the product of two primes.