The number 55342
55342 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 59 × 67. Divisors (16): 1, 2, 7, 14, 59, 67, 118, 134, 413, 469, 826, 938, 3953, 7906, 27671, 55342.
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How to work it out
- 1
What is special about 55342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55342 is composite. Its prime factorisation is
- 3
The divisors add up to 97920; without 55342 itself that is 42578, so 55342 is deficient (42578 is less than 55342). Euler's totient φ(55342) = 22968 numbers up to 55342 share no factor with it.
- 4
The digits of 55342 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55342 = 2 \times 7 \times 59 \times 67 \]
55342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97920 |
| Euler totient φ(n) | 22968 |
| Square | 3062736964 |
| Cube | 169497989061688 |
| Square root | 235.248804 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5342 × |
55342 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty-two |
| Binary (base 2) | 1101100000101110 |
| Octal (base 8) | 154056 |
| Hexadecimal (base 16) | D82E |
| Base 3 | 2210220201 |
| As time | 55342 seconds = 15 h 22 min 22 s |
Is 55342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55342 ÷ 2 = 27671) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55342 ÷ 7 = 7906) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55342 a prime number?
No. 55342 = 2 × 7 × 59 × 67, so it is divisible by 2.
What are the factors of 55342?
1, 2, 7, 14, 59, 67, 118, 134, 413, 469, 826, 938, 3953, 7906, 27671, 55342.
What is 55342 in binary?
1101100000101110 (hexadecimal D82E, octal 154056).
What is the square root of 55342?
About 235.2488.
Is 55342 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55342?
55342 is a happy number: repeatedly adding the squares of its digits reaches 1.