The number 44442
44442 is a composite number with 16 divisors. Its prime factorisation is 2 × × 823. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 823, 1646, 2469, 4938, 7407, 14814, 22221, 44442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
44442 is composite. Its prime factorisation is
- 3
The divisors add up to 98880; without 44442 itself that is 54438, so 44442 is abundant (54438 is more than 44442). Euler's totient φ(44442) = 14796 numbers up to 44442 share no factor with it.
- 4
The digits of 44442 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44442 = 2 \times 3^{3} \times 823 \]44442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98880 |
| Euler totient φ(n) | 14796 |
| Square | 1975091364 |
| Cube | 87777010398888 |
| Square root | 210.812713 (= 3√4938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.4442 × |
44442 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand four hundred and forty-two |
| Binary (base 2) | 1010110110011010 |
| Octal (base 8) | 126632 |
| Hexadecimal (base 16) | AD9A |
| Base 3 | 2020222000 |
| As time | 44442 seconds = 12 h 20 min 42 s |
Is 44442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44442 ÷ 2 = 22221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44442 ÷ 3 = 14814) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (44442 ÷ 6 = 7407) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (44442 ÷ 9 = 4938) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 44442 a prime number?
No. 44442 = 2 × × 823, so it is divisible by 2.
What are the factors of 44442?
1, 2, 3, 6, 9, 18, 27, 54, 823, 1646, 2469, 4938, 7407, 14814, 22221, 44442.
What is 44442 in binary?
1010110110011010 (hexadecimal AD9A, octal 126632).
What is the square root of 44442?
About 210.8127, exactly 3√4938.
Is 44442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 44442?
44442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.