The number 13746
13746 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 79. Divisors (16): 1, 2, 3, 6, 29, 58, 79, 87, 158, 174, 237, 474, 2291, 4582, 6873, 13746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13746 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 13746 itself that is 15054, so 13746 is abundant (15054 is more than 13746). Euler's totient φ(13746) = 4368 numbers up to 13746 share no factor with it.
- 4
The digits of 13746 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13746 = 2 \times 3 \times 29 \times 79 \]
13746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 4368 |
| Square | 188952516 |
| Cube | 2597341284936 |
| Square root | 117.243337 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3746 × |
13746 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and forty-six |
| Binary (base 2) | 11010110110010 |
| Octal (base 8) | 32662 |
| Hexadecimal (base 16) | 35B2 |
| Base 3 | 200212010 |
| As time | 13746 seconds = 3 h 49 min 6 s |
Is 13746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13746 ÷ 2 = 6873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13746 ÷ 3 = 4582) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13746 ÷ 6 = 2291) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13746 a prime number?
No. 13746 = 2 × 3 × 29 × 79, so it is divisible by 2.
What are the factors of 13746?
1, 2, 3, 6, 29, 58, 79, 87, 158, 174, 237, 474, 2291, 4582, 6873, 13746.
What is 13746 in binary?
11010110110010 (hexadecimal 35B2, octal 32662).
What is the square root of 13746?
About 117.2433.
Is 13746 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13746?
It is a composite number with 16 divisors.