The number 44008
44008 is a composite number with 8 divisors. Its prime factorisation is × 5501. Divisors (8): 1, 2, 4, 8, 5501, 11002, 22004, 44008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
44008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44008 is composite. Its prime factorisation is
- 3
The divisors add up to 82530; without 44008 itself that is 38522, so 44008 is deficient (38522 is less than 44008). Euler's totient φ(44008) = 22000 numbers up to 44008 share no factor with it.
- 4
The digits of 44008 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44008 = 2^{3} \times 5501 \]44008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82530 |
| Euler totient φ(n) | 22000 |
| Square | 1936704064 |
| Cube | 85230472448512 |
| Square root | 209.780838 (= 2√11002) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.4008 × |
44008 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and eight |
| Binary (base 2) | 1010101111101000 |
| Octal (base 8) | 125750 |
| Hexadecimal (base 16) | ABE8 |
| Base 3 | 2020100221 |
| As time | 44008 seconds = 12 h 13 min 28 s |
Is 44008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44008 ÷ 2 = 22004) | 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 (44008 ÷ 4 = 11002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (44008 ÷ 8 = 5501) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 44008 a prime number?
No. 44008 = × 5501, so it is divisible by 2.
What are the factors of 44008?
1, 2, 4, 8, 5501, 11002, 22004, 44008.
What is 44008 in binary?
1010101111101000 (hexadecimal ABE8, octal 125750).
What is the square root of 44008?
About 209.7808, exactly 2√11002.
Is 44008 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 44008?
It is a composite number with 8 divisors.