The number 55212
55212 is a composite number with 24 divisors. Its prime factorisation is × 3 × 43 × 107. Divisors (24): 1, 2, 3, 4, 6, 12, 43, 86, 107, 129, 172, 214, 258, 321, 428, 516 … 55212.
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How to work it out
- 1
55212 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55212 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 55212 itself that is 77844, so 55212 is abundant (77844 is more than 55212). Euler's totient φ(55212) = 17808 numbers up to 55212 share no factor with it.
- 4
The digits of 55212 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55212 = 2^{2} \times 3 \times 43 \times 107 \]55212 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 17808 |
| Square | 3048364944 |
| Cube | 168306325288128 |
| Square root | 234.972339 (= 2√13803) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5212 × |
55212 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and twelve |
| Binary (base 2) | 1101011110101100 |
| Octal (base 8) | 153654 |
| Hexadecimal (base 16) | D7AC |
| Base 3 | 2210201220 |
| As time | 55212 seconds = 15 h 20 min 12 s |
Is 55212 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55212 ÷ 2 = 27606) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55212 ÷ 3 = 18404) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55212 ÷ 4 = 13803) | 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 (55212 ÷ 6 = 9202) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55212 ÷ 12 = 4601) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55212 a prime number?
No. 55212 = × 3 × 43 × 107, so it is divisible by 2.
What are the factors of 55212?
1, 2, 3, 4, 6, 12, 43, 86, 107, 129, 172, 214, 258, 321, 428, 516, 642, 1284, 4601, 9202, 13803, 18404, 27606, 55212.
What is 55212 in binary?
1101011110101100 (hexadecimal D7AC, octal 153654).
What is the square root of 55212?
About 234.9723, exactly 2√13803.
Is 55212 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55212?
It is a composite number with 24 divisors.