The number 42579
42579 is a composite number with 16 divisors. Its prime factorisation is × 19 × 83. Divisors (16): 1, 3, 9, 19, 27, 57, 83, 171, 249, 513, 747, 1577, 2241, 4731, 14193, 42579.
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How to work it out
- 1
What is special about 42579: a Harshad number: divisible by its digit sum 27.
- 2
42579 is composite. Its prime factorisation is
- 3
The divisors add up to 67200; without 42579 itself that is 24621, so 42579 is deficient (24621 is less than 42579). Euler's totient φ(42579) = 26568 numbers up to 42579 share no factor with it.
- 4
The digits of 42579 add up to 27, 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
\[ 42579 = 3^{3} \times 19 \times 83 \]42579 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67200 |
| Euler totient φ(n) | 26568 |
| Square | 1812971241 |
| Cube | 77194502470539 |
| Square root | 206.346795 (= 3√4731) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2579 × |
42579 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-nine |
| Binary (base 2) | 1010011001010011 |
| Octal (base 8) | 123123 |
| Hexadecimal (base 16) | A653 |
| Base 3 | 2011102000 |
| As time | 42579 seconds = 11 h 49 min 39 s |
Is 42579 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42579 ÷ 3 = 14193) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42579 ÷ 9 = 4731) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42579 a prime number?
No. 42579 = × 19 × 83, so it is divisible by 3.
What are the factors of 42579?
1, 3, 9, 19, 27, 57, 83, 171, 249, 513, 747, 1577, 2241, 4731, 14193, 42579.
What is 42579 in binary?
1010011001010011 (hexadecimal A653, octal 123123).
What is the square root of 42579?
About 206.3468, exactly 3√4731.
Is 42579 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42579?
42579 is a Harshad number: divisible by its digit sum 27.