The number 42073
42073 is a twin prime (42071 and 42073 are both prime) and the 4400th prime number. Its only divisors are 1 and 42073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42073: a twin prime (42071 and 42073 are both prime); the 4400th prime number.
- 2
42073 is prime, so its only factors are 1 and 42073. It is the 4400th prime; the next prime is 42083 and the one before is 42071.
- 3
The divisors add up to 42074; without 42073 itself that is 1, so 42073 is deficient (1 is less than 42073). Euler's totient φ(42073) = 42072 numbers up to 42073 share no factor with it.
- 4
The digits of 42073 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 106 steps to reach 1.
42073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42074 |
| Euler totient φ(n) | 42072 |
| Square | 1770137329 |
| Cube | 74474987843017 |
| Square root | 205.117040 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2073 × |
42073 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventy-three |
| Binary (base 2) | 1010010001011001 |
| Octal (base 8) | 122131 |
| Hexadecimal (base 16) | A459 |
| Base 3 | 2010201021 |
| As time | 42073 seconds = 11 h 41 min 13 s |
Is 42073 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 3) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42073 a prime number?
Yes. 42073 is divisible only by 1 and itself.
What are the factors of 42073?
1, 42073.
What is 42073 in binary?
1010010001011001 (hexadecimal A459, octal 122131).
What is the square root of 42073?
About 205.1170.
Is 42073 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42073?
42073 is a twin prime (42071 and 42073 are both prime); the 4400th prime number.