The number 42355
42355 is a composite number with 8 divisors. Its prime factorisation is 5 × 43 × 197. Divisors (8): 1, 5, 43, 197, 215, 985, 8471, 42355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42355: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42355 is composite. Its prime factorisation is
- 3
The divisors add up to 52272; without 42355 itself that is 9917, so 42355 is deficient (9917 is less than 42355). Euler's totient φ(42355) = 32928 numbers up to 42355 share no factor with it.
- 4
The digits of 42355 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42355 = 5 \times 43 \times 197 \]
42355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52272 |
| Euler totient φ(n) | 32928 |
| Square | 1793946025 |
| Cube | 75982583888875 |
| Square root | 205.803304 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2355 × |
42355 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty-five |
| Binary (base 2) | 1010010101110011 |
| Octal (base 8) | 122563 |
| Hexadecimal (base 16) | A573 |
| Base 3 | 2011002201 |
| As time | 42355 seconds = 11 h 45 min 55 s |
Is 42355 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42355 ÷ 5 = 8471) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42355 a prime number?
No. 42355 = 5 × 43 × 197, so it is divisible by 5.
What are the factors of 42355?
1, 5, 43, 197, 215, 985, 8471, 42355.
What is 42355 in binary?
1010010101110011 (hexadecimal A573, octal 122563).
What is the square root of 42355?
About 205.8033.
Is 42355 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42355?
42355 is a happy number: repeatedly adding the squares of its digits reaches 1.