The number 4446
4446 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 19. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171 … 4446.
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How to work it out
- 1
What is special about 4446: a Harshad number: divisible by its digit sum 18.
- 2
4446 is composite. Its prime factorisation is
- 3
The divisors add up to 10920; without 4446 itself that is 6474, so 4446 is abundant (6474 is more than 4446). Euler's totient φ(4446) = 1296 numbers up to 4446 share no factor with it.
- 4
The digits of 4446 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 183 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4446 = 2 \times 3^{2} \times 13 \times 19 \]4446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 10920 |
| Euler totient φ(n) | 1296 |
| Square | 19766916 |
| Cube | 87883708536 |
| Square root | 66.678332 (= 3√494) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 183 |
| Scientific notation | 4.446 × |
4446 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and forty-six |
| Binary (base 2) | 1000101011110 |
| Octal (base 8) | 10536 |
| Hexadecimal (base 16) | 115E |
| Base 3 | 20002200 |
| As time | 4446 seconds = 1 h 14 min 6 s |
Is 4446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4446 ÷ 2 = 2223) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4446 ÷ 3 = 1482) | 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 (4446 ÷ 6 = 741) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (4446 ÷ 9 = 494) | 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 2) | 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 4446 a prime number?
No. 4446 = 2 × × 13 × 19, so it is divisible by 2.
What are the factors of 4446?
1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446.
What is 4446 in binary?
1000101011110 (hexadecimal 115E, octal 10536).
What is the square root of 4446?
About 66.6783, exactly 3√494.
Is 4446 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4446?
4446 is a Harshad number: divisible by its digit sum 18.