The number 1423
1423 is the 224th prime number. Its only divisors are 1 and 1423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1423: the 224th prime number.
- 2
1423 is prime, so its only factors are 1 and 1423. It is the 224th prime; the next prime is 1427 and the one before is 1409.
- 3
The divisors add up to 1424; without 1423 itself that is 1, so 1423 is deficient (1 is less than 1423). Euler's totient φ(1423) = 1422 numbers up to 1423 share no factor with it.
- 4
The digits of 1423 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 65 steps to reach 1.
1423 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1424 |
| Euler totient φ(n) | 1422 |
| Square | 2024929 |
| Cube | 2881473967 |
| Square root | 37.722672 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.423 × |
1423 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty-three |
| Roman numerals | MCDXXIII |
| Binary (base 2) | 10110001111 |
| Octal (base 8) | 2617 |
| Hexadecimal (base 16) | 58F |
| Base 3 | 1221201 |
| As time | 1423 seconds = 23 min 43 s |
Is 1423 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 2) | 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 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 4) | 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 1423 a prime number?
Yes. 1423 is divisible only by 1 and itself.
What are the factors of 1423?
1, 1423.
What is 1423 in binary?
10110001111 (hexadecimal 58F, octal 2617).
What is the square root of 1423?
About 37.7227.
What is 1423 in Roman numerals?
MCDXXIII.
Is 1423 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1423?
1423 is the 224th prime number.