The number 44000
44000 is a composite number with 48 divisors. Its prime factorisation is × × 11. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55 … 44000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44000: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 8.
- 2
44000 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 44000 itself that is 73936, so 44000 is abundant (73936 is more than 44000). Euler's totient φ(44000) = 16000 numbers up to 44000 share no factor with it.
- 4
The digits of 44000 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44000 = 2^{5} \times 5^{3} \times 11 \]44000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 16000 |
| Square | 1936000000 |
| Cube | 85184000000000 |
| Square root | 209.761770 (= 20√110) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.4 × |
44000 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand |
| Binary (base 2) | 1010101111100000 |
| Octal (base 8) | 125740 |
| Hexadecimal (base 16) | ABE0 |
| Base 3 | 2020100122 |
| As time | 44000 seconds = 12 h 13 min 20 s |
Is 44000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44000 ÷ 2 = 22000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44000 ÷ 4 = 11000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (44000 ÷ 5 = 8800) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (44000 ÷ 8 = 5500) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (44000 ÷ 10 = 4400) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (44000 ÷ 11 = 4000) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44000 a prime number?
No. 44000 = × × 11, so it is divisible by 2.
What are the factors of 44000?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 352, 400, 440, 500, 550, 800, 880, 1000, 1100, 1375, 1760, 2000, 2200, 2750, 4000, 4400, 5500, 8800, 11000, 22000, 44000.
What is 44000 in binary?
1010101111100000 (hexadecimal ABE0, octal 125740).
What is the square root of 44000?
About 209.7618, exactly 20√110.
Is 44000 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 44000?
44000 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 8.