The number 42357
42357 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2017. Divisors (8): 1, 3, 7, 21, 2017, 6051, 14119, 42357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42357: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
42357 is composite. Its prime factorisation is
- 3
The divisors add up to 64576; without 42357 itself that is 22219, so 42357 is deficient (22219 is less than 42357). Euler's totient φ(42357) = 24192 numbers up to 42357 share no factor with it.
- 4
The digits of 42357 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
\[ 42357 = 3 \times 7 \times 2017 \]
42357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64576 |
| Euler totient φ(n) | 24192 |
| Square | 1794115449 |
| Cube | 75993348073293 |
| Square root | 205.808163 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2357 × |
42357 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty-seven |
| Binary (base 2) | 1010010101110101 |
| Octal (base 8) | 122565 |
| Hexadecimal (base 16) | A575 |
| Base 3 | 2011002210 |
| As time | 42357 seconds = 11 h 45 min 57 s |
Is 42357 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 (42357 ÷ 3 = 14119) | 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 | Yes (42357 ÷ 7 = 6051) | 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 | No (remainder 3) | 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 7) | 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 42357 a prime number?
No. 42357 = 3 × 7 × 2017, so it is divisible by 3.
What are the factors of 42357?
1, 3, 7, 21, 2017, 6051, 14119, 42357.
What is 42357 in binary?
1010010101110101 (hexadecimal A575, octal 122565).
What is the square root of 42357?
About 205.8082.
Is 42357 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42357?
42357 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.