The number 44440
44440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 101. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 101, 110, 202 … 44440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
44440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44440 is composite. Its prime factorisation is
- 3
The divisors add up to 110160; without 44440 itself that is 65720, so 44440 is abundant (65720 is more than 44440). Euler's totient φ(44440) = 16000 numbers up to 44440 share no factor with it.
- 4
The digits of 44440 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44440 = 2^{3} \times 5 \times 11 \times 101 \]44440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110160 |
| Euler totient φ(n) | 16000 |
| Square | 1974913600 |
| Cube | 87765160384000 |
| Square root | 210.807969 (= 2√11110) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.444 × |
44440 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand four hundred and forty |
| Binary (base 2) | 1010110110011000 |
| Octal (base 8) | 126630 |
| Hexadecimal (base 16) | AD98 |
| Base 3 | 2020221221 |
| As time | 44440 seconds = 12 h 20 min 40 s |
Is 44440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44440 ÷ 2 = 22220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44440 ÷ 4 = 11110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (44440 ÷ 5 = 8888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (44440 ÷ 8 = 5555) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (44440 ÷ 10 = 4444) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (44440 ÷ 11 = 4040) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44440 a prime number?
No. 44440 = × 5 × 11 × 101, so it is divisible by 2.
What are the factors of 44440?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 101, 110, 202, 220, 404, 440, 505, 808, 1010, 1111, 2020, 2222, 4040, 4444, 5555, 8888, 11110, 22220, 44440.
What is 44440 in binary?
1010110110011000 (hexadecimal AD98, octal 126630).
What is the square root of 44440?
About 210.8080, exactly 2√11110.
Is 44440 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 44440?
It is a composite number with 32 divisors.