The number 55042
55042 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 29 × 73. Divisors (16): 1, 2, 13, 26, 29, 58, 73, 146, 377, 754, 949, 1898, 2117, 4234, 27521, 55042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55042: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55042 is composite. Its prime factorisation is
- 3
The divisors add up to 93240; without 55042 itself that is 38198, so 55042 is deficient (38198 is less than 55042). Euler's totient φ(55042) = 24192 numbers up to 55042 share no factor with it.
- 4
The digits of 55042 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
\[ 55042 = 2 \times 13 \times 29 \times 73 \]
55042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93240 |
| Euler totient φ(n) | 24192 |
| Square | 3029621764 |
| Cube | 166756441134088 |
| Square root | 234.610315 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5042 × |
55042 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and forty-two |
| Binary (base 2) | 1101011100000010 |
| Octal (base 8) | 153402 |
| Hexadecimal (base 16) | D702 |
| Base 3 | 2210111121 |
| As time | 55042 seconds = 15 h 17 min 22 s |
Is 55042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55042 ÷ 2 = 27521) | 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 | No (remainder 1) | 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 | 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 | No (remainder 9) | 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 55042 a prime number?
No. 55042 = 2 × 13 × 29 × 73, so it is divisible by 2.
What are the factors of 55042?
1, 2, 13, 26, 29, 58, 73, 146, 377, 754, 949, 1898, 2117, 4234, 27521, 55042.
What is 55042 in binary?
1101011100000010 (hexadecimal D702, octal 153402).
What is the square root of 55042?
About 234.6103.
Is 55042 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55042?
55042 is a happy number: repeatedly adding the squares of its digits reaches 1.