The number 42276
42276 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 271. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 271, 542, 813, 1084 … 42276.
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How to work it out
- 1
What is special about 42276: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42276 is composite. Its prime factorisation is
- 3
The divisors add up to 106624; without 42276 itself that is 64348, so 42276 is abundant (64348 is more than 42276). Euler's totient φ(42276) = 12960 numbers up to 42276 share no factor with it.
- 4
The digits of 42276 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
\[ 42276 = 2^{2} \times 3 \times 13 \times 271 \]42276 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106624 |
| Euler totient φ(n) | 12960 |
| Square | 1787260176 |
| Cube | 75558211200576 |
| Square root | 205.611284 (= 2√10569) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2276 × |
42276 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and seventy-six |
| Binary (base 2) | 1010010100100100 |
| Octal (base 8) | 122444 |
| Hexadecimal (base 16) | A524 |
| Base 3 | 2010222210 |
| As time | 42276 seconds = 11 h 44 min 36 s |
Is 42276 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42276 ÷ 2 = 21138) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42276 ÷ 3 = 14092) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42276 ÷ 4 = 10569) | 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 (42276 ÷ 6 = 7046) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42276 ÷ 12 = 3523) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42276 a prime number?
No. 42276 = × 3 × 13 × 271, so it is divisible by 2.
What are the factors of 42276?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 271, 542, 813, 1084, 1626, 3252, 3523, 7046, 10569, 14092, 21138, 42276.
What is 42276 in binary?
1010010100100100 (hexadecimal A524, octal 122444).
What is the square root of 42276?
About 205.6113, exactly 2√10569.
Is 42276 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42276?
42276 is a happy number: repeatedly adding the squares of its digits reaches 1.