The number 49943
49943 is the 5129th prime number. Its only divisors are 1 and 49943.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49943: the 5129th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49943 is prime, so its only factors are 1 and 49943. It is the 5129th prime; the next prime is 49957 and the one before is 49939.
- 3
The divisors add up to 49944; without 49943 itself that is 1, so 49943 is deficient (1 is less than 49943). Euler's totient φ(49943) = 49942 numbers up to 49943 share no factor with it.
- 4
The digits of 49943 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 202 steps to reach 1.
49943 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49944 |
| Euler totient φ(n) | 49942 |
| Square | 2494303249 |
| Cube | 124572987164807 |
| Square root | 223.479306 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 202 |
| Scientific notation | 4.9943 × |
49943 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and forty-three |
| Binary (base 2) | 1100001100010111 |
| Octal (base 8) | 141427 |
| Hexadecimal (base 16) | C317 |
| Base 3 | 2112111202 |
| As time | 49943 seconds = 13 h 52 min 23 s |
Is 49943 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 3) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49943 a prime number?
Yes. 49943 is divisible only by 1 and itself.
What are the factors of 49943?
1, 49943.
What is 49943 in binary?
1100001100010111 (hexadecimal C317, octal 141427).
What is the square root of 49943?
About 223.4793.
Is 49943 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49943?
49943 is the 5129th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.