The number 44400
44400 is a composite number with 60 divisors. Its prime factorisation is × 3 × × 37. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 37 … 44400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44400: a Harshad number: divisible by its digit sum 12.
- 2
44400 is composite. Its prime factorisation is
- 3
The divisors add up to 146072; without 44400 itself that is 101672, so 44400 is abundant (101672 is more than 44400). Euler's totient φ(44400) = 11520 numbers up to 44400 share no factor with it.
- 4
The digits of 44400 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44400 = 2^{4} \times 3 \times 5^{2} \times 37 \]44400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 146072 |
| Euler totient φ(n) | 11520 |
| Square | 1971360000 |
| Cube | 87528384000000 |
| Square root | 210.713075 (= 20√111) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.44 × |
44400 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand four hundred |
| Binary (base 2) | 1010110101110000 |
| Octal (base 8) | 126560 |
| Hexadecimal (base 16) | AD70 |
| Base 3 | 2020220110 |
| As time | 44400 seconds = 12 h 20 min 0 s |
Is 44400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44400 ÷ 2 = 22200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44400 ÷ 3 = 14800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44400 ÷ 4 = 11100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (44400 ÷ 5 = 8880) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (44400 ÷ 6 = 7400) | 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 | Yes (44400 ÷ 8 = 5550) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (44400 ÷ 10 = 4440) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (44400 ÷ 12 = 3700) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44400 a prime number?
No. 44400 = × 3 × × 37, so it is divisible by 2.
What are the factors of 44400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 37, 40, 48, 50, 60, 74, 75, 80, 100, 111, 120, 148, 150, 185, 200, 222, 240, 296, 300, 370, 400, 444, 555, 592, 600, 740, 888, 925, 1110, 1200, 1480, 1776, 1850, 2220, 2775, 2960, 3700, 4440, 5550, 7400, 8880, 11100, 14800, 22200, 44400.
What is 44400 in binary?
1010110101110000 (hexadecimal AD70, octal 126560).
What is the square root of 44400?
About 210.7131, exactly 20√111.
Is 44400 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 44400?
44400 is a Harshad number: divisible by its digit sum 12.