The number 40123
40123 is the 4214th prime number. Its only divisors are 1 and 40123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40123: the 4214th prime number.
- 2
40123 is prime, so its only factors are 1 and 40123. It is the 4214th prime; the next prime is 40127 and the one before is 40111.
- 3
The divisors add up to 40124; without 40123 itself that is 1, so 40123 is deficient (1 is less than 40123). Euler's totient φ(40123) = 40122 numbers up to 40123 share no factor with it.
- 4
The digits of 40123 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
40123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 40124 |
| Euler totient φ(n) | 40122 |
| Square | 1609855129 |
| Cube | 64592217340867 |
| Square root | 200.307264 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0123 × |
40123 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-three |
| Binary (base 2) | 1001110010111011 |
| Octal (base 8) | 116273 |
| Hexadecimal (base 16) | 9CBB |
| Base 3 | 2001001001 |
| As time | 40123 seconds = 11 h 8 min 43 s |
Is 40123 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 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 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 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 40123 a prime number?
Yes. 40123 is divisible only by 1 and itself.
What are the factors of 40123?
1, 40123.
What is 40123 in binary?
1001110010111011 (hexadecimal 9CBB, octal 116273).
What is the square root of 40123?
About 200.3073.
Is 40123 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40123?
40123 is the 4214th prime number.