The number 13642
13642 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 359. Divisors (8): 1, 2, 19, 38, 359, 718, 6821, 13642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13642 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13642 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 13642 itself that is 7958, so 13642 is deficient (7958 is less than 13642). Euler's totient φ(13642) = 6444 numbers up to 13642 share no factor with it.
- 4
The digits of 13642 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13642 = 2 \times 19 \times 359 \]
13642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 6444 |
| Square | 186104164 |
| Cube | 2538833005288 |
| Square root | 116.798973 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3642 × |
13642 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and forty-two |
| Binary (base 2) | 11010101001010 |
| Octal (base 8) | 32512 |
| Hexadecimal (base 16) | 354A |
| Base 3 | 200201021 |
| As time | 13642 seconds = 3 h 47 min 22 s |
Is 13642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13642 ÷ 2 = 6821) | 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 2) | 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 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13642 a prime number?
No. 13642 = 2 × 19 × 359, so it is divisible by 2.
What are the factors of 13642?
1, 2, 19, 38, 359, 718, 6821, 13642.
What is 13642 in binary?
11010101001010 (hexadecimal 354A, octal 32512).
What is the square root of 13642?
About 116.7990.
Is 13642 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13642?
It is a composite number with 8 divisors.