The number 44104
44104 is a composite number with 16 divisors. Its prime factorisation is × 37 × 149. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 149, 296, 298, 596, 1192, 5513, 11026, 22052, 44104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
44104 is composite. Its prime factorisation is
- 3
The divisors add up to 85500; without 44104 itself that is 41396, so 44104 is deficient (41396 is less than 44104). Euler's totient φ(44104) = 21312 numbers up to 44104 share no factor with it.
- 4
The digits of 44104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44104 = 2^{3} \times 37 \times 149 \]44104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85500 |
| Euler totient φ(n) | 21312 |
| Square | 1945162816 |
| Cube | 85789460836864 |
| Square root | 210.009524 (= 2√11026) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.4104 × |
44104 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand one hundred and four |
| Binary (base 2) | 1010110001001000 |
| Octal (base 8) | 126110 |
| Hexadecimal (base 16) | AC48 |
| Base 3 | 2020111111 |
| As time | 44104 seconds = 12 h 15 min 4 s |
Is 44104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44104 ÷ 2 = 22052) | 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 (44104 ÷ 4 = 11026) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (44104 ÷ 8 = 5513) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | 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 44104 a prime number?
No. 44104 = × 37 × 149, so it is divisible by 2.
What are the factors of 44104?
1, 2, 4, 8, 37, 74, 148, 149, 296, 298, 596, 1192, 5513, 11026, 22052, 44104.
What is 44104 in binary?
1010110001001000 (hexadecimal AC48, octal 126110).
What is the square root of 44104?
About 210.0095, exactly 2√11026.
Is 44104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 44104?
44104 is a happy number: repeatedly adding the squares of its digits reaches 1.