The number 42677
42677 is the 4460th prime number. Its only divisors are 1 and 42677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42677: the 4460th prime number.
- 2
42677 is prime, so its only factors are 1 and 42677. It is the 4460th prime; the next prime is 42683 and the one before is 42667.
- 3
The divisors add up to 42678; without 42677 itself that is 1, so 42677 is deficient (1 is less than 42677). Euler's totient φ(42677) = 42676 numbers up to 42677 share no factor with it.
- 4
The digits of 42677 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
42677 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42678 |
| Euler totient φ(n) | 42676 |
| Square | 1821326329 |
| Cube | 77728743742733 |
| Square root | 206.584123 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2677 × |
42677 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and seventy-seven |
| Binary (base 2) | 1010011010110101 |
| Octal (base 8) | 123265 |
| Hexadecimal (base 16) | A6B5 |
| Base 3 | 2011112122 |
| As time | 42677 seconds = 11 h 51 min 17 s |
Is 42677 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 2) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42677 a prime number?
Yes. 42677 is divisible only by 1 and itself.
What are the factors of 42677?
1, 42677.
What is 42677 in binary?
1010011010110101 (hexadecimal A6B5, octal 123265).
What is the square root of 42677?
About 206.5841.
Is 42677 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42677?
42677 is the 4460th prime number.