The number 44001
44001 is a composite number with 6 divisors. Its prime factorisation is × 4889. Divisors (6): 1, 3, 9, 4889, 14667, 44001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44001: a Harshad number: divisible by its digit sum 9.
- 2
44001 is composite. Its prime factorisation is
- 3
The divisors add up to 63570; without 44001 itself that is 19569, so 44001 is deficient (19569 is less than 44001). Euler's totient φ(44001) = 29328 numbers up to 44001 share no factor with it.
- 4
The digits of 44001 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44001 = 3^{2} \times 4889 \]44001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 63570 |
| Euler totient φ(n) | 29328 |
| Square | 1936088001 |
| Cube | 85189808132001 |
| Square root | 209.764153 (= 3√4889) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.4001 × |
44001 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and one |
| Binary (base 2) | 1010101111100001 |
| Octal (base 8) | 125741 |
| Hexadecimal (base 16) | ABE1 |
| Base 3 | 2020100200 |
| As time | 44001 seconds = 12 h 13 min 21 s |
Is 44001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44001 ÷ 3 = 14667) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (44001 ÷ 9 = 4889) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44001 a prime number?
No. 44001 = × 4889, so it is divisible by 3.
What are the factors of 44001?
1, 3, 9, 4889, 14667, 44001.
What is 44001 in binary?
1010101111100001 (hexadecimal ABE1, octal 125741).
What is the square root of 44001?
About 209.7642, exactly 3√4889.
Is 44001 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 44001?
44001 is a Harshad number: divisible by its digit sum 9.