The number 42957
42957 is a composite number with 16 divisors. Its prime factorisation is × 37 × 43. Divisors (16): 1, 3, 9, 27, 37, 43, 111, 129, 333, 387, 999, 1161, 1591, 4773, 14319, 42957.
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How to work it out
- 1
What is special about 42957: a Harshad number: divisible by its digit sum 27.
- 2
42957 is composite. Its prime factorisation is
- 3
The divisors add up to 66880; without 42957 itself that is 23923, so 42957 is deficient (23923 is less than 42957). Euler's totient φ(42957) = 27216 numbers up to 42957 share no factor with it.
- 4
The digits of 42957 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42957 = 3^{3} \times 37 \times 43 \]42957 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66880 |
| Euler totient φ(n) | 27216 |
| Square | 1845303849 |
| Cube | 79268717441493 |
| Square root | 207.260705 (= 3√4773) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2957 × |
42957 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and fifty-seven |
| Binary (base 2) | 1010011111001101 |
| Octal (base 8) | 123715 |
| Hexadecimal (base 16) | A7CD |
| Base 3 | 2011221000 |
| As time | 42957 seconds = 11 h 55 min 57 s |
Is 42957 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 (42957 ÷ 3 = 14319) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42957 ÷ 9 = 4773) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42957 a prime number?
No. 42957 = × 37 × 43, so it is divisible by 3.
What are the factors of 42957?
1, 3, 9, 27, 37, 43, 111, 129, 333, 387, 999, 1161, 1591, 4773, 14319, 42957.
What is 42957 in binary?
1010011111001101 (hexadecimal A7CD, octal 123715).
What is the square root of 42957?
About 207.2607, exactly 3√4773.
Is 42957 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42957?
42957 is a Harshad number: divisible by its digit sum 27.