The number 13427
13427 is a composite number with 4 divisors. Its prime factorisation is 29 × 463. Divisors (4): 1, 29, 463, 13427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13427: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 463, the product of two primes.
- 2
13427 is composite. Its prime factorisation is
- 3
The divisors add up to 13920; without 13427 itself that is 493, so 13427 is deficient (493 is less than 13427). Euler's totient φ(13427) = 12936 numbers up to 13427 share no factor with it.
- 4
The digits of 13427 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13427 = 29 \times 463 \]
13427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13920 |
| Euler totient φ(n) | 12936 |
| Square | 180284329 |
| Cube | 2420677685483 |
| Square root | 115.874933 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3427 × |
13427 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty-seven |
| Binary (base 2) | 11010001110011 |
| Octal (base 8) | 32163 |
| Hexadecimal (base 16) | 3473 |
| Base 3 | 200102022 |
| As time | 13427 seconds = 3 h 43 min 47 s |
Is 13427 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 7) | 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 13427 a prime number?
No. 13427 = 29 × 463, so it is divisible by 29.
What are the factors of 13427?
1, 29, 463, 13427.
What is 13427 in binary?
11010001110011 (hexadecimal 3473, octal 32163).
What is the square root of 13427?
About 115.8749.
Is 13427 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13427?
13427 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 463, the product of two primes.