The number 13366
13366 is a triangular number: 1 + 2 + … + 163 = 13366. Its prime factorisation is 2 × 41 × 163. Divisors (8): 1, 2, 41, 82, 163, 326, 6683, 13366.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13366: a triangular number: 1 + 2 + … + 163 = 13366; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13366 is composite. Its prime factorisation is
- 3
The divisors add up to 20664; without 13366 itself that is 7298, so 13366 is deficient (7298 is less than 13366). Euler's totient φ(13366) = 6480 numbers up to 13366 share no factor with it.
- 4
The digits of 13366 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13366 = 2 \times 41 \times 163 \]
13366 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20664 |
| Euler totient φ(n) | 6480 |
| Square | 178649956 |
| Cube | 2387835311896 |
| Square root | 115.611418 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3366 × |
13366 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-six |
| Binary (base 2) | 11010000110110 |
| Octal (base 8) | 32066 |
| Hexadecimal (base 16) | 3436 |
| Base 3 | 200100001 |
| As time | 13366 seconds = 3 h 42 min 46 s |
Is 13366 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13366 ÷ 2 = 6683) | 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 1) | 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 3) | 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 1) | 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 1) | 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 13366 a prime number?
No. 13366 = 2 × 41 × 163, so it is divisible by 2.
What are the factors of 13366?
1, 2, 41, 82, 163, 326, 6683, 13366.
What is 13366 in binary?
11010000110110 (hexadecimal 3436, octal 32066).
What is the square root of 13366?
About 115.6114.
Is 13366 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13366?
13366 is a triangular number: 1 + 2 + … + 163 = 13366; a happy number: repeatedly adding the squares of its digits reaches 1.