The number 42649
42649 is the 4458th prime number. Its only divisors are 1 and 42649.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42649: the 4458th prime number.
- 2
42649 is prime, so its only factors are 1 and 42649. It is the 4458th prime; the next prime is 42667 and the one before is 42643.
- 3
The divisors add up to 42650; without 42649 itself that is 1, so 42649 is deficient (1 is less than 42649). Euler's totient φ(42649) = 42648 numbers up to 42649 share no factor with it.
- 4
The digits of 42649 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
42649 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42650 |
| Euler totient φ(n) | 42648 |
| Square | 1818937201 |
| Cube | 77575852685449 |
| Square root | 206.516343 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2649 × |
42649 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and forty-nine |
| Binary (base 2) | 1010011010011001 |
| Octal (base 8) | 123231 |
| Hexadecimal (base 16) | A699 |
| Base 3 | 2011111121 |
| As time | 42649 seconds = 11 h 50 min 49 s |
Is 42649 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 4) | 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 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 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42649 a prime number?
Yes. 42649 is divisible only by 1 and itself.
What are the factors of 42649?
1, 42649.
What is 42649 in binary?
1010011010011001 (hexadecimal A699, octal 123231).
What is the square root of 42649?
About 206.5163.
Is 42649 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42649?
42649 is the 4458th prime number.