The number 43552
43552 is a composite number with 12 divisors. Its prime factorisation is × 1361. Divisors (12): 1, 2, 4, 8, 16, 32, 1361, 2722, 5444, 10888, 21776, 43552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43552 is composite. Its prime factorisation is
- 3
The divisors add up to 85806; without 43552 itself that is 42254, so 43552 is deficient (42254 is less than 43552). Euler's totient φ(43552) = 21760 numbers up to 43552 share no factor with it.
- 4
The digits of 43552 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43552 = 2^{5} \times 1361 \]43552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85806 |
| Euler totient φ(n) | 21760 |
| Square | 1896776704 |
| Cube | 82608419012608 |
| Square root | 208.691159 (= 4√2722) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.3552 × |
43552 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and fifty-two |
| Binary (base 2) | 1010101000100000 |
| Octal (base 8) | 125040 |
| Hexadecimal (base 16) | AA20 |
| Base 3 | 2012202001 |
| As time | 43552 seconds = 12 h 5 min 52 s |
Is 43552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43552 ÷ 2 = 21776) | 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 (43552 ÷ 4 = 10888) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (43552 ÷ 8 = 5444) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 43552 a prime number?
No. 43552 = × 1361, so it is divisible by 2.
What are the factors of 43552?
1, 2, 4, 8, 16, 32, 1361, 2722, 5444, 10888, 21776, 43552.
What is 43552 in binary?
1010101000100000 (hexadecimal AA20, octal 125040).
What is the square root of 43552?
About 208.6912, exactly 4√2722.
Is 43552 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 43552?
43552 is a happy number: repeatedly adding the squares of its digits reaches 1.