The number 444
444 is a palindrome: it reads 444 backwards too. Its prime factorisation is × 3 × 37. Divisors (12): 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 444: a palindrome: it reads 444 backwards too; a Harshad number: divisible by its digit sum 12.
- 2
444 is composite. Its prime factorisation is
- 3
The divisors add up to 1064; without 444 itself that is 620, so 444 is abundant (620 is more than 444). Euler's totient φ(444) = 144 numbers up to 444 share no factor with it.
- 4
The digits of 444 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 444 = 2^{2} \times 3 \times 37 \]444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1064 |
| Euler totient φ(n) | 144 |
| Square | 197136 |
| Cube | 87528384 |
| Square root | 21.071308 (= 2√111) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 4.44 × |
444 in other forms
| Form | Value |
|---|---|
| In words | four hundred and forty-four |
| Roman numerals | CDXLIV |
| Binary (base 2) | 110111100 |
| Octal (base 8) | 674 |
| Hexadecimal (base 16) | 1BC |
| Base 3 | 121110 |
| As time | 444 seconds = 7 min 24 s |
Is 444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (444 ÷ 2 = 222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (444 ÷ 3 = 148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (444 ÷ 4 = 111) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (444 ÷ 6 = 74) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (444 ÷ 12 = 37) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 444 a prime number?
No. 444 = × 3 × 37, so it is divisible by 2.
What are the factors of 444?
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444.
What is 444 in binary?
110111100 (hexadecimal 1BC, octal 674).
What is the square root of 444?
About 21.0713, exactly 2√111.
What is 444 in Roman numerals?
CDXLIV.
Is 444 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 444?
444 is a palindrome: it reads 444 backwards too; a Harshad number: divisible by its digit sum 12.