The number 13446
13446 is a composite number with 20 divisors. Its prime factorisation is 2 × × 83. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494 … 13446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13446: a Harshad number: divisible by its digit sum 18.
- 2
13446 is composite. Its prime factorisation is
- 3
The divisors add up to 30492; without 13446 itself that is 17046, so 13446 is abundant (17046 is more than 13446). Euler's totient φ(13446) = 4428 numbers up to 13446 share no factor with it.
- 4
The digits of 13446 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
\[ 13446 = 2 \times 3^{4} \times 83 \]13446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 30492 |
| Euler totient φ(n) | 4428 |
| Square | 180794916 |
| Cube | 2430968440536 |
| Square root | 115.956889 (= 9√166) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3446 × |
13446 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and forty-six |
| Binary (base 2) | 11010010000110 |
| Octal (base 8) | 32206 |
| Hexadecimal (base 16) | 3486 |
| Base 3 | 200110000 |
| As time | 13446 seconds = 3 h 44 min 6 s |
Is 13446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13446 ÷ 2 = 6723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13446 ÷ 3 = 4482) | 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 (13446 ÷ 6 = 2241) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (13446 ÷ 9 = 1494) | 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 4) | 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 13446 a prime number?
No. 13446 = 2 × × 83, so it is divisible by 2.
What are the factors of 13446?
1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723, 13446.
What is 13446 in binary?
11010010000110 (hexadecimal 3486, octal 32206).
What is the square root of 13446?
About 115.9569, exactly 9√166.
Is 13446 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13446?
13446 is a Harshad number: divisible by its digit sum 18.