The number 13742
13742 is a composite number with 4 divisors. Its prime factorisation is 2 × 6871. Divisors (4): 1, 2, 6871, 13742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13742: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6871, the product of two primes.
- 2
13742 is composite. Its prime factorisation is
- 3
The divisors add up to 20616; without 13742 itself that is 6874, so 13742 is deficient (6874 is less than 13742). Euler's totient φ(13742) = 6870 numbers up to 13742 share no factor with it.
- 4
The digits of 13742 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13742 = 2 \times 6871 \]
13742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20616 |
| Euler totient φ(n) | 6870 |
| Square | 188842564 |
| Cube | 2595074514488 |
| Square root | 117.226277 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3742 × |
13742 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-two |
| Binary (base 2) | 11010110101110 |
| Octal (base 8) | 32656 |
| Hexadecimal (base 16) | 35AE |
| Base 3 | 200211222 |
| As time | 13742 seconds = 3 h 49 min 2 s |
Is 13742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13742 ÷ 2 = 6871) | 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 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 2) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13742 a prime number?
No. 13742 = 2 × 6871, so it is divisible by 2.
What are the factors of 13742?
1, 2, 6871, 13742.
What is 13742 in binary?
11010110101110 (hexadecimal 35AE, octal 32656).
What is the square root of 13742?
About 117.2263.
Is 13742 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13742?
13742 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6871, the product of two primes.