The number 55332
55332 is a composite number with 36 divisors. Its prime factorisation is × × 29 × 53. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 53, 58, 87, 106, 116, 159 … 55332.
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How to work it out
- 1
What is special about 55332: a Harshad number: divisible by its digit sum 18.
- 2
55332 is composite. Its prime factorisation is
- 3
The divisors add up to 147420; without 55332 itself that is 92088, so 55332 is abundant (92088 is more than 55332). Euler's totient φ(55332) = 17472 numbers up to 55332 share no factor with it.
- 4
The digits of 55332 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55332 = 2^{2} \times 3^{2} \times 29 \times 53 \]55332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 147420 |
| Euler totient φ(n) | 17472 |
| Square | 3061630224 |
| Cube | 169406123554368 |
| Square root | 235.227549 (= 6√1537) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5332 × |
55332 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and thirty-two |
| Binary (base 2) | 1101100000100100 |
| Octal (base 8) | 154044 |
| Hexadecimal (base 16) | D824 |
| Base 3 | 2210220100 |
| As time | 55332 seconds = 15 h 22 min 12 s |
Is 55332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55332 ÷ 2 = 27666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55332 ÷ 3 = 18444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55332 ÷ 4 = 13833) | 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 | Yes (55332 ÷ 6 = 9222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (55332 ÷ 9 = 6148) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55332 ÷ 12 = 4611) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55332 a prime number?
No. 55332 = × × 29 × 53, so it is divisible by 2.
What are the factors of 55332?
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 53, 58, 87, 106, 116, 159, 174, 212, 261, 318, 348, 477, 522, 636, 954, 1044, 1537, 1908, 3074, 4611, 6148, 9222, 13833, 18444, 27666, 55332.
What is 55332 in binary?
1101100000100100 (hexadecimal D824, octal 154044).
What is the square root of 55332?
About 235.2275, exactly 6√1537.
Is 55332 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55332?
55332 is a Harshad number: divisible by its digit sum 18.