The number 1427
1427 is a twin prime (1427 and 1429 are both prime) and the 225th prime number. Its only divisors are 1 and 1427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1427: a twin prime (1427 and 1429 are both prime); the 225th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1427 is prime, so its only factors are 1 and 1427. It is the 225th prime; the next prime is 1429 and the one before is 1423.
- 3
The divisors add up to 1428; without 1427 itself that is 1, so 1427 is deficient (1 is less than 1427). Euler's totient φ(1427) = 1426 numbers up to 1427 share no factor with it.
- 4
The digits of 1427 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
1427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1428 |
| Euler totient φ(n) | 1426 |
| Square | 2036329 |
| Cube | 2905841483 |
| Square root | 37.775654 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 26 |
| Scientific notation | 1.427 × |
1427 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and twenty-seven |
| Roman numerals | MCDXXVII |
| Binary (base 2) | 10110010011 |
| Octal (base 8) | 2623 |
| Hexadecimal (base 16) | 593 |
| Base 3 | 1221212 |
| As time | 1427 seconds = 23 min 47 s |
Is 1427 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1427 a prime number?
Yes. 1427 is divisible only by 1 and itself.
What are the factors of 1427?
1, 1427.
What is 1427 in binary?
10110010011 (hexadecimal 593, octal 2623).
What is the square root of 1427?
About 37.7757.
What is 1427 in Roman numerals?
MCDXXVII.
Is 1427 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1427?
1427 is a twin prime (1427 and 1429 are both prime); the 225th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.