The number 42444
42444 is a composite number with 30 divisors. Its prime factorisation is × × 131. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 131, 162, 262 … 42444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42444: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42444 is composite. Its prime factorisation is
- 3
The divisors add up to 111804; without 42444 itself that is 69360, so 42444 is abundant (69360 is more than 42444). Euler's totient φ(42444) = 14040 numbers up to 42444 share no factor with it.
- 4
The digits of 42444 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42444 = 2^{2} \times 3^{4} \times 131 \]42444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 111804 |
| Euler totient φ(n) | 14040 |
| Square | 1801493136 |
| Cube | 76462574664384 |
| Square root | 206.019417 (= 18√131) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2444 × |
42444 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and forty-four |
| Binary (base 2) | 1010010111001100 |
| Octal (base 8) | 122714 |
| Hexadecimal (base 16) | A5CC |
| Base 3 | 2011020000 |
| As time | 42444 seconds = 11 h 47 min 24 s |
Is 42444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42444 ÷ 2 = 21222) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42444 ÷ 3 = 14148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42444 ÷ 4 = 10611) | 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 (42444 ÷ 6 = 7074) | 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 | Yes (42444 ÷ 9 = 4716) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42444 ÷ 12 = 3537) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42444 a prime number?
No. 42444 = × × 131, so it is divisible by 2.
What are the factors of 42444?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 131, 162, 262, 324, 393, 524, 786, 1179, 1572, 2358, 3537, 4716, 7074, 10611, 14148, 21222, 42444.
What is 42444 in binary?
1010010111001100 (hexadecimal A5CC, octal 122714).
What is the square root of 42444?
About 206.0194, exactly 18√131.
Is 42444 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42444?
42444 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.