The number 49123
49123 is a twin prime (49121 and 49123 are both prime) and the 5050th prime number. Its only divisors are 1 and 49123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49123: a twin prime (49121 and 49123 are both prime); the 5050th prime number.
- 2
49123 is prime, so its only factors are 1 and 49123. It is the 5050th prime; the next prime is 49139 and the one before is 49121.
- 3
The divisors add up to 49124; without 49123 itself that is 1, so 49123 is deficient (1 is less than 49123). Euler's totient φ(49123) = 49122 numbers up to 49123 share no factor with it.
- 4
The digits of 49123 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
49123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49124 |
| Euler totient φ(n) | 49122 |
| Square | 2413069129 |
| Cube | 118537194823867 |
| Square root | 221.637091 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9123 × |
49123 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and twenty-three |
| Binary (base 2) | 1011111111100011 |
| Octal (base 8) | 137743 |
| Hexadecimal (base 16) | BFE3 |
| Base 3 | 2111101101 |
| As time | 49123 seconds = 13 h 38 min 43 s |
Is 49123 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 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 4) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49123 a prime number?
Yes. 49123 is divisible only by 1 and itself.
What are the factors of 49123?
1, 49123.
What is 49123 in binary?
1011111111100011 (hexadecimal BFE3, octal 137743).
What is the square root of 49123?
About 221.6371.
Is 49123 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 49123?
49123 is a twin prime (49121 and 49123 are both prime); the 5050th prime number.