The number 44200
44200 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 17. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 17, 20, 25, 26, 34, 40, 50, 52, 65 … 44200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44200: a Harshad number: divisible by its digit sum 10.
- 2
44200 is composite. Its prime factorisation is
- 3
The divisors add up to 117180; without 44200 itself that is 72980, so 44200 is abundant (72980 is more than 44200). Euler's totient φ(44200) = 15360 numbers up to 44200 share no factor with it.
- 4
The digits of 44200 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44200 = 2^{3} \times 5^{2} \times 13 \times 17 \]44200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 117180 |
| Euler totient φ(n) | 15360 |
| Square | 1953640000 |
| Cube | 86350888000000 |
| Square root | 210.237960 (= 10√442) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.42 × |
44200 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand two hundred |
| Binary (base 2) | 1010110010101000 |
| Octal (base 8) | 126250 |
| Hexadecimal (base 16) | ACA8 |
| Base 3 | 2020122001 |
| As time | 44200 seconds = 12 h 16 min 40 s |
Is 44200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44200 ÷ 2 = 22100) | 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 (44200 ÷ 4 = 11050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (44200 ÷ 5 = 8840) | 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 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 (44200 ÷ 8 = 5525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (44200 ÷ 10 = 4420) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44200 a prime number?
No. 44200 = × × 13 × 17, so it is divisible by 2.
What are the factors of 44200?
1, 2, 4, 5, 8, 10, 13, 17, 20, 25, 26, 34, 40, 50, 52, 65, 68, 85, 100, 104, 130, 136, 170, 200, 221, 260, 325, 340, 425, 442, 520, 650, 680, 850, 884, 1105, 1300, 1700, 1768, 2210, 2600, 3400, 4420, 5525, 8840, 11050, 22100, 44200.
What is 44200 in binary?
1010110010101000 (hexadecimal ACA8, octal 126250).
What is the square root of 44200?
About 210.2380, exactly 10√442.
Is 44200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 44200?
44200 is a Harshad number: divisible by its digit sum 10.