The number 44488
44488 is a composite number with 16 divisors. Its prime factorisation is × 67 × 83. Divisors (16): 1, 2, 4, 8, 67, 83, 134, 166, 268, 332, 536, 664, 5561, 11122, 22244, 44488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 44488: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
44488 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 44488 itself that is 41192, so 44488 is deficient (41192 is less than 44488). Euler's totient φ(44488) = 21648 numbers up to 44488 share no factor with it.
- 4
The digits of 44488 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 44488 = 2^{3} \times 67 \times 83 \]44488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 21648 |
| Square | 1979182144 |
| Cube | 88049855222272 |
| Square root | 210.921786 (= 2√11122) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.4488 × |
44488 in other forms
| Form | Value |
|---|---|
| In words | forty-four thousand four hundred and eighty-eight |
| Binary (base 2) | 1010110111001000 |
| Octal (base 8) | 126710 |
| Hexadecimal (base 16) | ADC8 |
| Base 3 | 2021000201 |
| As time | 44488 seconds = 12 h 21 min 28 s |
Is 44488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (44488 ÷ 2 = 22244) | 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 (44488 ÷ 4 = 11122) | 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 3) | 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 (44488 ÷ 8 = 5561) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 44488 a prime number?
No. 44488 = × 67 × 83, so it is divisible by 2.
What are the factors of 44488?
1, 2, 4, 8, 67, 83, 134, 166, 268, 332, 536, 664, 5561, 11122, 22244, 44488.
What is 44488 in binary?
1010110111001000 (hexadecimal ADC8, octal 126710).
What is the square root of 44488?
About 210.9218, exactly 2√11122.
Is 44488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 44488?
44488 is a happy number: repeatedly adding the squares of its digits reaches 1.