The number 47123
47123 is the 4861st prime number. Its only divisors are 1 and 47123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47123: the 4861st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47123 is prime, so its only factors are 1 and 47123. It is the 4861st prime; the next prime is 47129 and the one before is 47119.
- 3
The divisors add up to 47124; without 47123 itself that is 1, so 47123 is deficient (1 is less than 47123). Euler's totient φ(47123) = 47122 numbers up to 47123 share no factor with it.
- 4
The digits of 47123 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47124 |
| Euler totient φ(n) | 47122 |
| Square | 2220577129 |
| Cube | 104640256049867 |
| Square root | 217.078327 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7123 × |
47123 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and twenty-three |
| Binary (base 2) | 1011100000010011 |
| Octal (base 8) | 134023 |
| Hexadecimal (base 16) | B813 |
| Base 3 | 2101122022 |
| As time | 47123 seconds = 13 h 5 min 23 s |
Is 47123 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 6) | 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 8) | 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 10) | 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 47123 a prime number?
Yes. 47123 is divisible only by 1 and itself.
What are the factors of 47123?
1, 47123.
What is 47123 in binary?
1011100000010011 (hexadecimal B813, octal 134023).
What is the square root of 47123?
About 217.0783.
Is 47123 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47123?
47123 is the 4861st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.