The number 42301
42301 is a composite number with 4 divisors. Its prime factorisation is 7 × 6043. Divisors (4): 1, 7, 6043, 42301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42301: a semiprime: 7 × 6043, the product of two primes.
- 2
42301 is composite. Its prime factorisation is
- 3
The divisors add up to 48352; without 42301 itself that is 6051, so 42301 is deficient (6051 is less than 42301). Euler's totient φ(42301) = 36252 numbers up to 42301 share no factor with it.
- 4
The digits of 42301 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42301 = 7 \times 6043 \]
42301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48352 |
| Euler totient φ(n) | 36252 |
| Square | 1789374601 |
| Cube | 75692334996901 |
| Square root | 205.672069 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2301 × |
42301 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and one |
| Binary (base 2) | 1010010100111101 |
| Octal (base 8) | 122475 |
| Hexadecimal (base 16) | A53D |
| Base 3 | 2011000201 |
| As time | 42301 seconds = 11 h 45 min 1 s |
Is 42301 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 | Yes (42301 ÷ 7 = 6043) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42301 a prime number?
No. 42301 = 7 × 6043, so it is divisible by 7.
What are the factors of 42301?
1, 7, 6043, 42301.
What is 42301 in binary?
1010010100111101 (hexadecimal A53D, octal 122475).
What is the square root of 42301?
About 205.6721.
Is 42301 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 42301?
42301 is a semiprime: 7 × 6043, the product of two primes.