The number 42552
42552 is a composite number with 32 divisors. Its prime factorisation is × × 197. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 197 … 42552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42552: a Harshad number: divisible by its digit sum 18.
- 2
42552 is composite. Its prime factorisation is
- 3
The divisors add up to 118800; without 42552 itself that is 76248, so 42552 is abundant (76248 is more than 42552). Euler's totient φ(42552) = 14112 numbers up to 42552 share no factor with it.
- 4
The digits of 42552 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42552 = 2^{3} \times 3^{3} \times 197 \]42552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 118800 |
| Euler totient φ(n) | 14112 |
| Square | 1810672704 |
| Cube | 77047744900608 |
| Square root | 206.281361 (= 6√1182) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2552 × |
42552 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and fifty-two |
| Binary (base 2) | 1010011000111000 |
| Octal (base 8) | 123070 |
| Hexadecimal (base 16) | A638 |
| Base 3 | 2011101000 |
| As time | 42552 seconds = 11 h 49 min 12 s |
Is 42552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42552 ÷ 2 = 21276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42552 ÷ 3 = 14184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42552 ÷ 4 = 10638) | 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 (42552 ÷ 6 = 7092) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (42552 ÷ 8 = 5319) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42552 ÷ 9 = 4728) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42552 ÷ 12 = 3546) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42552 a prime number?
No. 42552 = × × 197, so it is divisible by 2.
What are the factors of 42552?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 197, 216, 394, 591, 788, 1182, 1576, 1773, 2364, 3546, 4728, 5319, 7092, 10638, 14184, 21276, 42552.
What is 42552 in binary?
1010011000111000 (hexadecimal A638, octal 123070).
What is the square root of 42552?
About 206.2814, exactly 6√1182.
Is 42552 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42552?
42552 is a Harshad number: divisible by its digit sum 18.