The number 42401
42401 is a composite number with 4 divisors. Its prime factorisation is 109 × 389. Divisors (4): 1, 109, 389, 42401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42401: a semiprime: 109 × 389, the product of two primes.
- 2
42401 is composite. Its prime factorisation is
- 3
The divisors add up to 42900; without 42401 itself that is 499, so 42401 is deficient (499 is less than 42401). Euler's totient φ(42401) = 41904 numbers up to 42401 share no factor with it.
- 4
The digits of 42401 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42401 = 109 \times 389 \]
42401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42900 |
| Euler totient φ(n) | 41904 |
| Square | 1797844801 |
| Cube | 76230417407201 |
| Square root | 205.915031 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2401 × |
42401 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and one |
| Binary (base 2) | 1010010110100001 |
| Octal (base 8) | 122641 |
| Hexadecimal (base 16) | A5A1 |
| Base 3 | 2011011102 |
| As time | 42401 seconds = 11 h 46 min 41 s |
Is 42401 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 | No (remainder 2) | 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 7) | 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 42401 a prime number?
No. 42401 = 109 × 389, so it is divisible by 109.
What are the factors of 42401?
1, 109, 389, 42401.
What is 42401 in binary?
1010010110100001 (hexadecimal A5A1, octal 122641).
What is the square root of 42401?
About 205.9150.
Is 42401 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42401?
42401 is a semiprime: 109 × 389, the product of two primes.