The number 44764
44764 is a composite number with 18 divisors. Its prime factorisation is × × 31. Divisors (18): 1, 2, 4, 19, 31, 38, 62, 76, 124, 361, 589, 722, 1178, 1444, 2356, 11191 … 44764.
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How to work it out
- 1
What is special about 44764: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
44764 is composite. Its prime factorisation is
- 3
The divisors add up to 85344; without 44764 itself that is 40580, so 44764 is deficient (40580 is less than 44764). Euler's totient φ(44764) = 20520 numbers up to 44764 share no factor with it.
- 4
The digits of 44764 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44764 = 2^{2} \times 19^{2} \times 31 \]44764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 85344 |
| Euler totient φ(n) | 20520 |
| Square | 2003815696 |
| Cube | 89698805815744 |
| Square root | 211.575046 (= 38√31) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.4764 × |
44764 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand seven hundred and sixty-four |
| Binary (base 2) | 1010111011011100 |
| Octal (base 8) | 127334 |
| Hexadecimal (base 16) | AEDC |
| Base 3 | 2021101221 |
| As time | 44764 seconds = 12 h 26 min 4 s |
Is 44764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44764 ÷ 2 = 22382) | 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 (44764 ÷ 4 = 11191) | 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 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 7) | 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 44764 a prime number?
No. 44764 = × × 31, so it is divisible by 2.
What are the factors of 44764?
1, 2, 4, 19, 31, 38, 62, 76, 124, 361, 589, 722, 1178, 1444, 2356, 11191, 22382, 44764.
What is 44764 in binary?
1010111011011100 (hexadecimal AEDC, octal 127334).
What is the square root of 44764?
About 211.5750, exactly 38√31.
Is 44764 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 44764?
44764 is a happy number: repeatedly adding the squares of its digits reaches 1.