The number 55242
55242 is a composite number with 40 divisors. Its prime factorisation is 2 × × 11 × 31. Divisors (40): 1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 81, 93 … 55242.
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How to work it out
- 1
What is special about 55242: a Harshad number: divisible by its digit sum 18.
- 2
55242 is composite. Its prime factorisation is
- 3
The divisors add up to 139392; without 55242 itself that is 84150, so 55242 is abundant (84150 is more than 55242). Euler's totient φ(55242) = 16200 numbers up to 55242 share no factor with it.
- 4
The digits of 55242 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55242 = 2 \times 3^{4} \times 11 \times 31 \]55242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 139392 |
| Euler totient φ(n) | 16200 |
| Square | 3051678564 |
| Cube | 168580827232488 |
| Square root | 235.036167 (= 9√682) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.5242 × |
55242 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and forty-two |
| Binary (base 2) | 1101011111001010 |
| Octal (base 8) | 153712 |
| Hexadecimal (base 16) | D7CA |
| Base 3 | 2210210000 |
| As time | 55242 seconds = 15 h 20 min 42 s |
Is 55242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55242 ÷ 2 = 27621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55242 ÷ 3 = 18414) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (55242 ÷ 6 = 9207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55242 ÷ 9 = 6138) | 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 (55242 ÷ 11 = 5022) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55242 a prime number?
No. 55242 = 2 × × 11 × 31, so it is divisible by 2.
What are the factors of 55242?
1, 2, 3, 6, 9, 11, 18, 22, 27, 31, 33, 54, 62, 66, 81, 93, 99, 162, 186, 198, 279, 297, 341, 558, 594, 682, 837, 891, 1023, 1674, 1782, 2046, 2511, 3069, 5022, 6138, 9207, 18414, 27621, 55242.
What is 55242 in binary?
1101011111001010 (hexadecimal D7CA, octal 153712).
What is the square root of 55242?
About 235.0362, exactly 9√682.
Is 55242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55242?
55242 is a Harshad number: divisible by its digit sum 18.