The number 52542
52542 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 139. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 139, 189 … 52542.
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How to work it out
- 1
What is special about 52542: a Harshad number: divisible by its digit sum 18.
- 2
52542 is composite. Its prime factorisation is
- 3
The divisors add up to 134400; without 52542 itself that is 81858, so 52542 is abundant (81858 is more than 52542). Euler's totient φ(52542) = 14904 numbers up to 52542 share no factor with it.
- 4
The digits of 52542 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 246 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52542 = 2 \times 3^{3} \times 7 \times 139 \]52542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 134400 |
| Euler totient φ(n) | 14904 |
| Square | 2760661764 |
| Cube | 145050690404088 |
| Square root | 229.220418 (= 3√5838) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 246 |
| Scientific notation | 5.2542 × |
52542 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred and forty-two |
| Binary (base 2) | 1100110100111110 |
| Octal (base 8) | 146476 |
| Hexadecimal (base 16) | CD3E |
| Base 3 | 2200002000 |
| As time | 52542 seconds = 14 h 35 min 42 s |
Is 52542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52542 ÷ 2 = 26271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52542 ÷ 3 = 17514) | 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 (52542 ÷ 6 = 8757) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52542 ÷ 7 = 7506) | 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 | Yes (52542 ÷ 9 = 5838) | 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 6) | 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 52542 a prime number?
No. 52542 = 2 × × 7 × 139, so it is divisible by 2.
What are the factors of 52542?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 139, 189, 278, 378, 417, 834, 973, 1251, 1946, 2502, 2919, 3753, 5838, 7506, 8757, 17514, 26271, 52542.
What is 52542 in binary?
1100110100111110 (hexadecimal CD3E, octal 146476).
What is the square root of 52542?
About 229.2204, exactly 3√5838.
Is 52542 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52542?
52542 is a Harshad number: divisible by its digit sum 18.