The number 42576
42576 is a composite number with 20 divisors. Its prime factorisation is × 3 × 887. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 887, 1774, 2661, 3548, 5322, 7096 … 42576.
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How to work it out
- 1
What is special about 42576: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.
- 2
42576 is composite. Its prime factorisation is
- 3
The divisors add up to 110112; without 42576 itself that is 67536, so 42576 is abundant (67536 is more than 42576). Euler's totient φ(42576) = 14176 numbers up to 42576 share no factor with it.
- 4
The digits of 42576 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42576 = 2^{4} \times 3 \times 887 \]42576 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 110112 |
| Euler totient φ(n) | 14176 |
| Square | 1812715776 |
| Cube | 77178186878976 |
| Square root | 206.339526 (= 4√2661) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2576 × |
42576 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventy-six |
| Binary (base 2) | 1010011001010000 |
| Octal (base 8) | 123120 |
| Hexadecimal (base 16) | A650 |
| Base 3 | 2011101220 |
| As time | 42576 seconds = 11 h 49 min 36 s |
Is 42576 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42576 ÷ 2 = 21288) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42576 ÷ 3 = 14192) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42576 ÷ 4 = 10644) | 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 (42576 ÷ 6 = 7096) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (42576 ÷ 8 = 5322) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42576 ÷ 12 = 3548) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42576 a prime number?
No. 42576 = × 3 × 887, so it is divisible by 2.
What are the factors of 42576?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 887, 1774, 2661, 3548, 5322, 7096, 10644, 14192, 21288, 42576.
What is 42576 in binary?
1010011001010000 (hexadecimal A650, octal 123120).
What is the square root of 42576?
About 206.3395, exactly 4√2661.
Is 42576 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42576?
42576 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 24.