The number 44004
44004 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 193. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 193, 228, 386, 579, 772 … 44004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44004: a Harshad number: divisible by its digit sum 12.
- 2
44004 is composite. Its prime factorisation is
- 3
The divisors add up to 108640; without 44004 itself that is 64636, so 44004 is abundant (64636 is more than 44004). Euler's totient φ(44004) = 13824 numbers up to 44004 share no factor with it.
- 4
The digits of 44004 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
\[ 44004 = 2^{2} \times 3 \times 19 \times 193 \]44004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108640 |
| Euler totient φ(n) | 13824 |
| Square | 1936352016 |
| Cube | 85207234112064 |
| Square root | 209.771304 (= 2√11001) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.4004 × |
44004 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and four |
| Binary (base 2) | 1010101111100100 |
| Octal (base 8) | 125744 |
| Hexadecimal (base 16) | ABE4 |
| Base 3 | 2020100210 |
| As time | 44004 seconds = 12 h 13 min 24 s |
Is 44004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44004 ÷ 2 = 22002) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44004 ÷ 3 = 14668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44004 ÷ 4 = 11001) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (44004 ÷ 6 = 7334) | 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 | No (remainder 4) | 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 | No (remainder 4) | 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 (44004 ÷ 12 = 3667) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44004 a prime number?
No. 44004 = × 3 × 19 × 193, so it is divisible by 2.
What are the factors of 44004?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 193, 228, 386, 579, 772, 1158, 2316, 3667, 7334, 11001, 14668, 22002, 44004.
What is 44004 in binary?
1010101111100100 (hexadecimal ABE4, octal 125744).
What is the square root of 44004?
About 209.7713, exactly 2√11001.
Is 44004 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 44004?
44004 is a Harshad number: divisible by its digit sum 12.