The number 42756
42756 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 509. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 509, 1018, 1527, 2036 … 42756.
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How to work it out
- 1
What is special about 42756: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42756 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 42756 itself that is 71484, so 42756 is abundant (71484 is more than 42756). Euler's totient φ(42756) = 12192 numbers up to 42756 share no factor with it.
- 4
The digits of 42756 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42756 = 2^{2} \times 3 \times 7 \times 509 \]42756 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 12192 |
| Square | 1828075536 |
| Cube | 78161197617216 |
| Square root | 206.775240 (= 2√10689) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2756 × |
42756 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fifty-six |
| Binary (base 2) | 1010011100000100 |
| Octal (base 8) | 123404 |
| Hexadecimal (base 16) | A704 |
| Base 3 | 2011122120 |
| As time | 42756 seconds = 11 h 52 min 36 s |
Is 42756 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42756 ÷ 2 = 21378) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42756 ÷ 3 = 14252) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42756 ÷ 4 = 10689) | 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 (42756 ÷ 6 = 7126) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42756 ÷ 7 = 6108) | 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 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42756 ÷ 12 = 3563) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42756 a prime number?
No. 42756 = × 3 × 7 × 509, so it is divisible by 2.
What are the factors of 42756?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 509, 1018, 1527, 2036, 3054, 3563, 6108, 7126, 10689, 14252, 21378, 42756.
What is 42756 in binary?
1010011100000100 (hexadecimal A704, octal 123404).
What is the square root of 42756?
About 206.7752, exactly 2√10689.
Is 42756 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42756?
42756 is a happy number: repeatedly adding the squares of its digits reaches 1.