The number 55132
55132 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 179. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 179, 308, 358, 716, 1253 … 55132.
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How to work it out
- 1
55132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55132 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 55132 itself that is 65828, so 55132 is abundant (65828 is more than 55132). Euler's totient φ(55132) = 21360 numbers up to 55132 share no factor with it.
- 4
The digits of 55132 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55132 = 2^{2} \times 7 \times 11 \times 179 \]55132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 21360 |
| Square | 3039537424 |
| Cube | 167575777259968 |
| Square root | 234.802044 (= 2√13783) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5132 × |
55132 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and thirty-two |
| Binary (base 2) | 1101011101011100 |
| Octal (base 8) | 153534 |
| Hexadecimal (base 16) | D75C |
| Base 3 | 2210121221 |
| As time | 55132 seconds = 15 h 18 min 52 s |
Is 55132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55132 ÷ 2 = 27566) | 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 (55132 ÷ 4 = 13783) | 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 | Yes (55132 ÷ 7 = 7876) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (55132 ÷ 11 = 5012) | 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 55132 a prime number?
No. 55132 = × 7 × 11 × 179, so it is divisible by 2.
What are the factors of 55132?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 179, 308, 358, 716, 1253, 1969, 2506, 3938, 5012, 7876, 13783, 27566, 55132.
What is 55132 in binary?
1101011101011100 (hexadecimal D75C, octal 153534).
What is the square root of 55132?
About 234.8020, exactly 2√13783.
Is 55132 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55132?
It is a composite number with 24 divisors.