The number 13662
13662 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 23. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 99 … 13662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13662: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13662 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 13662 itself that is 20898, so 13662 is abundant (20898 is more than 13662). Euler's totient φ(13662) = 3960 numbers up to 13662 share no factor with it.
- 4
The digits of 13662 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13662 = 2 \times 3^{3} \times 11 \times 23 \]13662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 3960 |
| Square | 186650244 |
| Cube | 2550015633528 |
| Square root | 116.884558 (= 3√1518) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3662 × |
13662 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and sixty-two |
| Binary (base 2) | 11010101011110 |
| Octal (base 8) | 32536 |
| Hexadecimal (base 16) | 355E |
| Base 3 | 200202000 |
| As time | 13662 seconds = 3 h 47 min 42 s |
Is 13662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13662 ÷ 2 = 6831) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13662 ÷ 3 = 4554) | 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 (13662 ÷ 6 = 2277) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13662 ÷ 9 = 1518) | 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 | Yes (13662 ÷ 11 = 1242) | 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 13662 a prime number?
No. 13662 = 2 × × 11 × 23, so it is divisible by 2.
What are the factors of 13662?
1, 2, 3, 6, 9, 11, 18, 22, 23, 27, 33, 46, 54, 66, 69, 99, 138, 198, 207, 253, 297, 414, 506, 594, 621, 759, 1242, 1518, 2277, 4554, 6831, 13662.
What is 13662 in binary?
11010101011110 (hexadecimal 355E, octal 32536).
What is the square root of 13662?
About 116.8846, exactly 3√1518.
Is 13662 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13662?
13662 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.