The number 42499
42499 is the 4447th prime number. Its only divisors are 1 and 42499.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42499: the 4447th prime number.
- 2
42499 is prime, so its only factors are 1 and 42499. It is the 4447th prime; the next prime is 42509 and the one before is 42491.
- 3
The divisors add up to 42500; without 42499 itself that is 1, so 42499 is deficient (1 is less than 42499). Euler's totient φ(42499) = 42498 numbers up to 42499 share no factor with it.
- 4
The digits of 42499 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
42499 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42500 |
| Euler totient φ(n) | 42498 |
| Square | 1806165001 |
| Cube | 76760206377499 |
| Square root | 206.152856 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2499 × |
42499 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and ninety-nine |
| Binary (base 2) | 1010011000000011 |
| Octal (base 8) | 123003 |
| Hexadecimal (base 16) | A603 |
| Base 3 | 2011022001 |
| As time | 42499 seconds = 11 h 48 min 19 s |
Is 42499 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 3) | 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 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 3) | 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 9) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42499 a prime number?
Yes. 42499 is divisible only by 1 and itself.
What are the factors of 42499?
1, 42499.
What is 42499 in binary?
1010011000000011 (hexadecimal A603, octal 123003).
What is the square root of 42499?
About 206.1529.
Is 42499 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 42499?
42499 is the 4447th prime number.