The number 427
427 is a binary palindrome (110101011). Its prime factorisation is 7 × 61. Divisors (4): 1, 7, 61, 427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 427: a binary palindrome (110101011); a semiprime: 7 × 61, the product of two primes.
- 2
427 is composite. Its prime factorisation is
- 3
The divisors add up to 496; without 427 itself that is 69, so 427 is deficient (69 is less than 427). Euler's totient φ(427) = 360 numbers up to 427 share no factor with it.
- 4
The digits of 427 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 427 = 7 \times 61 \]
427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 496 |
| Euler totient φ(n) | 360 |
| Square | 182329 |
| Cube | 77854483 |
| Square root | 20.663978 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 4.27 × |
427 in other forms
| Form | Value |
|---|---|
| In words | four hundred and twenty-seven |
| Roman numerals | CDXXVII |
| Binary (base 2) | 110101011 |
| Octal (base 8) | 653 |
| Hexadecimal (base 16) | 1AB |
| Base 3 | 120211 |
| As time | 427 seconds = 7 min 7 s |
Is 427 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 2) | 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 | Yes (427 ÷ 7 = 61) | 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 4) | 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 9) | 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 427 a prime number?
No. 427 = 7 × 61, so it is divisible by 7.
What are the factors of 427?
1, 7, 61, 427.
What is 427 in binary?
110101011 (hexadecimal 1AB, octal 653).
What is the square root of 427?
About 20.6640.
What is 427 in Roman numerals?
CDXXVII.
Is 427 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 427?
427 is a binary palindrome (110101011); a semiprime: 7 × 61, the product of two primes.