The number 44988
44988 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 163. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 163, 276, 326, 489, 652 … 44988.
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How to work it out
- 1
44988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44988 is composite. Its prime factorisation is
- 3
The divisors add up to 110208; without 44988 itself that is 65220, so 44988 is abundant (65220 is more than 44988). Euler's totient φ(44988) = 14256 numbers up to 44988 share no factor with it.
- 4
The digits of 44988 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44988 = 2^{2} \times 3 \times 23 \times 163 \]44988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 110208 |
| Euler totient φ(n) | 14256 |
| Square | 2023920144 |
| Cube | 91052119438272 |
| Square root | 212.103748 (= 2√11247) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 62 |
| Scientific notation | 4.4988 × |
44988 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand nine hundred and eighty-eight |
| Binary (base 2) | 1010111110111100 |
| Octal (base 8) | 127674 |
| Hexadecimal (base 16) | AFBC |
| Base 3 | 2021201020 |
| As time | 44988 seconds = 12 h 29 min 48 s |
Is 44988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44988 ÷ 2 = 22494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44988 ÷ 3 = 14996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44988 ÷ 4 = 11247) | 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 | Yes (44988 ÷ 6 = 7498) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (44988 ÷ 12 = 3749) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44988 a prime number?
No. 44988 = × 3 × 23 × 163, so it is divisible by 2.
What are the factors of 44988?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 163, 276, 326, 489, 652, 978, 1956, 3749, 7498, 11247, 14996, 22494, 44988.
What is 44988 in binary?
1010111110111100 (hexadecimal AFBC, octal 127674).
What is the square root of 44988?
About 212.1037, exactly 2√11247.
Is 44988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 44988?
It is a composite number with 24 divisors.