The number 13266
13266 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 67. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 67, 99, 134, 198, 201, 402 … 13266.
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How to work it out
- 1
What is special about 13266: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
13266 is composite. Its prime factorisation is
- 3
The divisors add up to 31824; without 13266 itself that is 18558, so 13266 is abundant (18558 is more than 13266). Euler's totient φ(13266) = 3960 numbers up to 13266 share no factor with it.
- 4
The digits of 13266 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13266 = 2 \times 3^{2} \times 11 \times 67 \]13266 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31824 |
| Euler totient φ(n) | 3960 |
| Square | 175986756 |
| Cube | 2334640305096 |
| Square root | 115.178123 (= 3√1474) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3266 × |
13266 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-six |
| Binary (base 2) | 11001111010010 |
| Octal (base 8) | 31722 |
| Hexadecimal (base 16) | 33D2 |
| Base 3 | 200012100 |
| As time | 13266 seconds = 3 h 41 min 6 s |
Is 13266 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13266 ÷ 2 = 6633) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13266 ÷ 3 = 4422) | 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 (13266 ÷ 6 = 2211) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13266 ÷ 9 = 1474) | 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 | Yes (13266 ÷ 11 = 1206) | 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 13266 a prime number?
No. 13266 = 2 × × 11 × 67, so it is divisible by 2.
What are the factors of 13266?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 67, 99, 134, 198, 201, 402, 603, 737, 1206, 1474, 2211, 4422, 6633, 13266.
What is 13266 in binary?
11001111010010 (hexadecimal 33D2, octal 31722).
What is the square root of 13266?
About 115.1781, exactly 3√1474.
Is 13266 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13266?
13266 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.