The number 2423
2423 is the 360th prime number. Its only divisors are 1 and 2423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2423: the 360th prime number.
- 2
2423 is prime, so its only factors are 1 and 2423. It is the 360th prime; the next prime is 2437 and the one before is 2417.
- 3
The divisors add up to 2424; without 2423 itself that is 1, so 2423 is deficient (1 is less than 2423). Euler's totient φ(2423) = 2422 numbers up to 2423 share no factor with it.
- 4
The digits of 2423 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
2423 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2424 |
| Euler totient φ(n) | 2422 |
| Square | 5870929 |
| Cube | 14225260967 |
| Square root | 49.223978 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.423 × |
2423 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twenty-three |
| Roman numerals | MMCDXXIII |
| Binary (base 2) | 100101110111 |
| Octal (base 8) | 4567 |
| Hexadecimal (base 16) | 977 |
| Base 3 | 10022202 |
| As time | 2423 seconds = 40 min 23 s |
Is 2423 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 1) | 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 2423 a prime number?
Yes. 2423 is divisible only by 1 and itself.
What are the factors of 2423?
1, 2423.
What is 2423 in binary?
100101110111 (hexadecimal 977, octal 4567).
What is the square root of 2423?
About 49.2240.
What is 2423 in Roman numerals?
MMCDXXIII.
Is 2423 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2423?
2423 is the 360th prime number.