The number 44480
44480 is a composite number with 28 divisors. Its prime factorisation is × 5 × 139. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 139, 160, 278, 320 … 44480.
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How to work it out
- 1
What is special about 44480: a Harshad number: divisible by its digit sum 20.
- 2
44480 is composite. Its prime factorisation is
- 3
The divisors add up to 106680; without 44480 itself that is 62200, so 44480 is abundant (62200 is more than 44480). Euler's totient φ(44480) = 17664 numbers up to 44480 share no factor with it.
- 4
The digits of 44480 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44480 = 2^{6} \times 5 \times 139 \]44480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 106680 |
| Euler totient φ(n) | 17664 |
| Square | 1978470400 |
| Cube | 88002363392000 |
| Square root | 210.902821 (= 8√695) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.448 × |
44480 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand four hundred and eighty |
| Binary (base 2) | 1010110111000000 |
| Octal (base 8) | 126700 |
| Hexadecimal (base 16) | ADC0 |
| Base 3 | 2021000102 |
| As time | 44480 seconds = 12 h 21 min 20 s |
Is 44480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44480 ÷ 2 = 22240) | 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 (44480 ÷ 4 = 11120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (44480 ÷ 5 = 8896) | 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 2) | 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 (44480 ÷ 8 = 5560) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (44480 ÷ 10 = 4448) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 44480 a prime number?
No. 44480 = × 5 × 139, so it is divisible by 2.
What are the factors of 44480?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 139, 160, 278, 320, 556, 695, 1112, 1390, 2224, 2780, 4448, 5560, 8896, 11120, 22240, 44480.
What is 44480 in binary?
1010110111000000 (hexadecimal ADC0, octal 126700).
What is the square root of 44480?
About 210.9028, exactly 8√695.
Is 44480 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 44480?
44480 is a Harshad number: divisible by its digit sum 20.