The number 44132
44132 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 59. Divisors (24): 1, 2, 4, 11, 17, 22, 34, 44, 59, 68, 118, 187, 236, 374, 649, 748 … 44132.
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How to work it out
- 1
44132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
44132 is composite. Its prime factorisation is
- 3
The divisors add up to 90720; without 44132 itself that is 46588, so 44132 is abundant (46588 is more than 44132). Euler's totient φ(44132) = 18560 numbers up to 44132 share no factor with it.
- 4
The digits of 44132 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44132 = 2^{2} \times 11 \times 17 \times 59 \]44132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90720 |
| Euler totient φ(n) | 18560 |
| Square | 1947633424 |
| Cube | 85952958267968 |
| Square root | 210.076177 (= 2√11033) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.4132 × |
44132 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand one hundred and thirty-two |
| Binary (base 2) | 1010110001100100 |
| Octal (base 8) | 126144 |
| Hexadecimal (base 16) | AC64 |
| Base 3 | 2020112112 |
| As time | 44132 seconds = 12 h 15 min 32 s |
Is 44132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44132 ÷ 2 = 22066) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (44132 ÷ 4 = 11033) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (44132 ÷ 11 = 4012) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 44132 a prime number?
No. 44132 = × 11 × 17 × 59, so it is divisible by 2.
What are the factors of 44132?
1, 2, 4, 11, 17, 22, 34, 44, 59, 68, 118, 187, 236, 374, 649, 748, 1003, 1298, 2006, 2596, 4012, 11033, 22066, 44132.
What is 44132 in binary?
1010110001100100 (hexadecimal AC64, octal 126144).
What is the square root of 44132?
About 210.0762, exactly 2√11033.
Is 44132 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 44132?
It is a composite number with 24 divisors.