The number 44016
44016 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 131. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 44016.
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How to work it out
- 1
44016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44016 is composite. Its prime factorisation is
- 3
The divisors add up to 130944; without 44016 itself that is 86928, so 44016 is abundant (86928 is more than 44016). Euler's totient φ(44016) = 12480 numbers up to 44016 share no factor with it.
- 4
The digits of 44016 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44016 = 2^{4} \times 3 \times 7 \times 131 \]44016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 130944 |
| Euler totient φ(n) | 12480 |
| Square | 1937408256 |
| Cube | 85276961796096 |
| Square root | 209.799905 (= 4√2751) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.4016 × |
44016 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand and sixteen |
| Binary (base 2) | 1010101111110000 |
| Octal (base 8) | 125760 |
| Hexadecimal (base 16) | ABF0 |
| Base 3 | 2020101020 |
| As time | 44016 seconds = 12 h 13 min 36 s |
Is 44016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44016 ÷ 2 = 22008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (44016 ÷ 3 = 14672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44016 ÷ 4 = 11004) | 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 | Yes (44016 ÷ 6 = 7336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (44016 ÷ 7 = 6288) | 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 (44016 ÷ 8 = 5502) | 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 6) | 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 | Yes (44016 ÷ 12 = 3668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44016 a prime number?
No. 44016 = × 3 × 7 × 131, so it is divisible by 2.
What are the factors of 44016?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 131, 168, 262, 336, 393, 524, 786, 917, 1048, 1572, 1834, 2096, 2751, 3144, 3668, 5502, 6288, 7336, 11004, 14672, 22008, 44016.
What is 44016 in binary?
1010101111110000 (hexadecimal ABF0, octal 125760).
What is the square root of 44016?
About 209.7999, exactly 4√2751.
Is 44016 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 44016?
It is a composite number with 40 divisors.