The number 55352
55352 is a composite number with 32 divisors. Its prime factorisation is × 11 × 17 × 37. Divisors (32): 1, 2, 4, 8, 11, 17, 22, 34, 37, 44, 68, 74, 88, 136, 148, 187 … 55352.
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How to work it out
- 1
55352 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55352 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 55352 itself that is 67768, so 55352 is abundant (67768 is more than 55352). Euler's totient φ(55352) = 23040 numbers up to 55352 share no factor with it.
- 4
The digits of 55352 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 228 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55352 = 2^{3} \times 11 \times 17 \times 37 \]55352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 23040 |
| Square | 3063843904 |
| Cube | 169589887774208 |
| Square root | 235.270058 (= 2√13838) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 228 |
| Scientific notation | 5.5352 × |
55352 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifty-two |
| Binary (base 2) | 1101100000111000 |
| Octal (base 8) | 154070 |
| Hexadecimal (base 16) | D838 |
| Base 3 | 2210221002 |
| As time | 55352 seconds = 15 h 22 min 32 s |
Is 55352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55352 ÷ 2 = 27676) | 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 (55352 ÷ 4 = 13838) | 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 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 (55352 ÷ 8 = 6919) | 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 | Yes (55352 ÷ 11 = 5032) | 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 55352 a prime number?
No. 55352 = × 11 × 17 × 37, so it is divisible by 2.
What are the factors of 55352?
1, 2, 4, 8, 11, 17, 22, 34, 37, 44, 68, 74, 88, 136, 148, 187, 296, 374, 407, 629, 748, 814, 1258, 1496, 1628, 2516, 3256, 5032, 6919, 13838, 27676, 55352.
What is 55352 in binary?
1101100000111000 (hexadecimal D838, octal 154070).
What is the square root of 55352?
About 235.2701, exactly 2√13838.
Is 55352 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55352?
It is a composite number with 32 divisors.