The number 42876
42876 is a composite number with 24 divisors. Its prime factorisation is × × 397. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 397, 794, 1191, 1588 … 42876.
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How to work it out
- 1
What is special about 42876: a Harshad number: divisible by its digit sum 27.
- 2
42876 is composite. Its prime factorisation is
- 3
The divisors add up to 111440; without 42876 itself that is 68564, so 42876 is abundant (68564 is more than 42876). Euler's totient φ(42876) = 14256 numbers up to 42876 share no factor with it.
- 4
The digits of 42876 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42876 = 2^{2} \times 3^{3} \times 397 \]42876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 111440 |
| Euler totient φ(n) | 14256 |
| Square | 1838351376 |
| Cube | 78821153597376 |
| Square root | 207.065207 (= 6√1191) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.2876 × |
42876 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and seventy-six |
| Binary (base 2) | 1010011101111100 |
| Octal (base 8) | 123574 |
| Hexadecimal (base 16) | A77C |
| Base 3 | 2011211000 |
| As time | 42876 seconds = 11 h 54 min 36 s |
Is 42876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42876 ÷ 2 = 21438) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42876 ÷ 3 = 14292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42876 ÷ 4 = 10719) | 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 (42876 ÷ 6 = 7146) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42876 ÷ 9 = 4764) | 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 | Yes (42876 ÷ 12 = 3573) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42876 a prime number?
No. 42876 = × × 397, so it is divisible by 2.
What are the factors of 42876?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 397, 794, 1191, 1588, 2382, 3573, 4764, 7146, 10719, 14292, 21438, 42876.
What is 42876 in binary?
1010011101111100 (hexadecimal A77C, octal 123574).
What is the square root of 42876?
About 207.0652, exactly 6√1191.
Is 42876 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42876?
42876 is a Harshad number: divisible by its digit sum 27.