The number 53552
53552 is a composite number with 10 divisors. Its prime factorisation is × 3347. Divisors (10): 1, 2, 4, 8, 16, 3347, 6694, 13388, 26776, 53552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53552 is composite. Its prime factorisation is
- 3
The divisors add up to 103788; without 53552 itself that is 50236, so 53552 is deficient (50236 is less than 53552). Euler's totient φ(53552) = 26768 numbers up to 53552 share no factor with it.
- 4
The digits of 53552 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53552 = 2^{4} \times 3347 \]53552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 103788 |
| Euler totient φ(n) | 26768 |
| Square | 2867816704 |
| Cube | 153577320132608 |
| Square root | 231.413051 (= 4√3347) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3552 × |
53552 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and fifty-two |
| Binary (base 2) | 1101000100110000 |
| Octal (base 8) | 150460 |
| Hexadecimal (base 16) | D130 |
| Base 3 | 2201110102 |
| As time | 53552 seconds = 14 h 52 min 32 s |
Is 53552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53552 ÷ 2 = 26776) | 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 (53552 ÷ 4 = 13388) | 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 2) | 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 (53552 ÷ 8 = 6694) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 4) | 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 53552 a prime number?
No. 53552 = × 3347, so it is divisible by 2.
What are the factors of 53552?
1, 2, 4, 8, 16, 3347, 6694, 13388, 26776, 53552.
What is 53552 in binary?
1101000100110000 (hexadecimal D130, octal 150460).
What is the square root of 53552?
About 231.4131, exactly 4√3347.
Is 53552 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53552?
It is a composite number with 10 divisors.