The number 1446
1446 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 241. Divisors (8): 1, 2, 3, 6, 241, 482, 723, 1446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1446 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1446 is composite. Its prime factorisation is
- 3
The divisors add up to 2904; without 1446 itself that is 1458, so 1446 is abundant (1458 is more than 1446). Euler's totient φ(1446) = 480 numbers up to 1446 share no factor with it.
- 4
The digits of 1446 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1446 = 2 \times 3 \times 241 \]
1446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2904 |
| Euler totient φ(n) | 480 |
| Square | 2090916 |
| Cube | 3023464536 |
| Square root | 38.026307 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.446 × |
1446 in other forms
| Form | Value |
|---|---|
| In words | one thousand four hundred and forty-six |
| Roman numerals | MCDXLVI |
| Binary (base 2) | 10110100110 |
| Octal (base 8) | 2646 |
| Hexadecimal (base 16) | 5A6 |
| Base 3 | 1222120 |
| As time | 1446 seconds = 24 min 6 s |
Is 1446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1446 ÷ 2 = 723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1446 ÷ 3 = 482) | 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 (1446 ÷ 6 = 241) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 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 1446 a prime number?
No. 1446 = 2 × 3 × 241, so it is divisible by 2.
What are the factors of 1446?
1, 2, 3, 6, 241, 482, 723, 1446.
What is 1446 in binary?
10110100110 (hexadecimal 5A6, octal 2646).
What is the square root of 1446?
About 38.0263.
What is 1446 in Roman numerals?
MCDXLVI.
Is 1446 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1446?
It is a composite number with 8 divisors.