The number 13722
13722 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2287. Divisors (8): 1, 2, 3, 6, 2287, 4574, 6861, 13722.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13722 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13722 is composite. Its prime factorisation is
- 3
The divisors add up to 27456; without 13722 itself that is 13734, so 13722 is abundant (13734 is more than 13722). Euler's totient φ(13722) = 4572 numbers up to 13722 share no factor with it.
- 4
The digits of 13722 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13722 = 2 \times 3 \times 2287 \]
13722 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27456 |
| Euler totient φ(n) | 4572 |
| Square | 188293284 |
| Cube | 2583760443048 |
| Square root | 117.140941 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3722 × |
13722 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and twenty-two |
| Binary (base 2) | 11010110011010 |
| Octal (base 8) | 32632 |
| Hexadecimal (base 16) | 359A |
| Base 3 | 200211020 |
| As time | 13722 seconds = 3 h 48 min 42 s |
Is 13722 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13722 ÷ 2 = 6861) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13722 ÷ 3 = 4574) | 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 | Yes (13722 ÷ 6 = 2287) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 5) | 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 13722 a prime number?
No. 13722 = 2 × 3 × 2287, so it is divisible by 2.
What are the factors of 13722?
1, 2, 3, 6, 2287, 4574, 6861, 13722.
What is 13722 in binary?
11010110011010 (hexadecimal 359A, octal 32632).
What is the square root of 13722?
About 117.1409.
Is 13722 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13722?
It is a composite number with 8 divisors.