The number 8427
8427 is a composite number with 6 divisors. Its prime factorisation is 3 Ć . Divisors (6): 1, 3, 53, 159, 2809, 8427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8427: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8427 is composite. Its prime factorisation is
- 3
The divisors add up to 11452; without 8427 itself that is 3025, so 8427 is deficient (3025 is less than 8427). Euler's totient Ļ(8427) = 5512 numbers up to 8427 share no factor with it.
- 4
The digits of 8427 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8427 = 3 \times 53^{2} \]8427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11452 |
| Euler totient Ļ(n) | 5512 |
| Square | 71014329 |
| Cube | 598437750483 |
| Square root | 91.798693 (= 53ā3) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.427 Ć |
8427 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and twenty-seven |
| Binary (base 2) | 10000011101011 |
| Octal (base 8) | 20353 |
| Hexadecimal (base 16) | 20EB |
| Base 3 | 102120010 |
| As time | 8427 seconds = 2 h 20 min 27 s |
Is 8427 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 | Yes (8427 Ć· 3 = 2809) | 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 3) | 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 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8427 a prime number?
No. 8427 = 3 Ć , so it is divisible by 3.
What are the factors of 8427?
1, 3, 53, 159, 2809, 8427.
What is 8427 in binary?
10000011101011 (hexadecimal 20EB, octal 20353).
What is the square root of 8427?
About 91.7987, exactly 53ā3.
Is 8427 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8427?
8427 is a happy number: repeatedly adding the squares of its digits reaches 1.