The number 42546
42546 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1013. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1013, 2026, 3039, 6078, 7091, 14182, 21273, 42546.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42546: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
42546 is composite. Its prime factorisation is
- 3
The divisors add up to 97344; without 42546 itself that is 54798, so 42546 is abundant (54798 is more than 42546). Euler's totient φ(42546) = 12144 numbers up to 42546 share no factor with it.
- 4
The digits of 42546 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42546 = 2 \times 3 \times 7 \times 1013 \]
42546 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97344 |
| Euler totient φ(n) | 12144 |
| Square | 1810162116 |
| Cube | 77015157387336 |
| Square root | 206.266817 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2546 × |
42546 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and forty-six |
| Binary (base 2) | 1010011000110010 |
| Octal (base 8) | 123062 |
| Hexadecimal (base 16) | A632 |
| Base 3 | 2011100210 |
| As time | 42546 seconds = 11 h 49 min 6 s |
Is 42546 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42546 ÷ 2 = 21273) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42546 ÷ 3 = 14182) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42546 ÷ 6 = 7091) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42546 ÷ 7 = 6078) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42546 a prime number?
No. 42546 = 2 × 3 × 7 × 1013, so it is divisible by 2.
What are the factors of 42546?
1, 2, 3, 6, 7, 14, 21, 42, 1013, 2026, 3039, 6078, 7091, 14182, 21273, 42546.
What is 42546 in binary?
1010011000110010 (hexadecimal A632, octal 123062).
What is the square root of 42546?
About 206.2668.
Is 42546 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42546?
42546 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.