The number 41552
41552 is a composite number with 30 divisors. Its prime factorisation is × × 53. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 49, 53, 56, 98, 106, 112, 196, 212 … 41552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
41552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
41552 is composite. Its prime factorisation is
- 3
The divisors add up to 95418; without 41552 itself that is 53866, so 41552 is abundant (53866 is more than 41552). Euler's totient φ(41552) = 17472 numbers up to 41552 share no factor with it.
- 4
The digits of 41552 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41552 = 2^{4} \times 7^{2} \times 53 \]41552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 95418 |
| Euler totient φ(n) | 17472 |
| Square | 1726568704 |
| Cube | 71742382788608 |
| Square root | 203.843077 (= 28√53) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.1552 × |
41552 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand five hundred and fifty-two |
| Binary (base 2) | 1010001001010000 |
| Octal (base 8) | 121120 |
| Hexadecimal (base 16) | A250 |
| Base 3 | 2002222222 |
| As time | 41552 seconds = 11 h 32 min 32 s |
Is 41552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41552 ÷ 2 = 20776) | 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 (41552 ÷ 4 = 10388) | 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 | Yes (41552 ÷ 7 = 5936) | 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 (41552 ÷ 8 = 5194) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 41552 a prime number?
No. 41552 = × × 53, so it is divisible by 2.
What are the factors of 41552?
1, 2, 4, 7, 8, 14, 16, 28, 49, 53, 56, 98, 106, 112, 196, 212, 371, 392, 424, 742, 784, 848, 1484, 2597, 2968, 5194, 5936, 10388, 20776, 41552.
What is 41552 in binary?
1010001001010000 (hexadecimal A250, octal 121120).
What is the square root of 41552?
About 203.8431, exactly 28√53.
Is 41552 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 41552?
It is a composite number with 30 divisors.