The number 42113
42113 is a composite number with 4 divisors. Its prime factorisation is 23 × 1831. Divisors (4): 1, 23, 1831, 42113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42113: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1831, the product of two primes.
- 2
42113 is composite. Its prime factorisation is
- 3
The divisors add up to 43968; without 42113 itself that is 1855, so 42113 is deficient (1855 is less than 42113). Euler's totient φ(42113) = 40260 numbers up to 42113 share no factor with it.
- 4
The digits of 42113 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42113 = 23 \times 1831 \]
42113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43968 |
| Euler totient φ(n) | 40260 |
| Square | 1773504769 |
| Cube | 74687606336897 |
| Square root | 205.214522 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.2113 × |
42113 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirteen |
| Binary (base 2) | 1010010010000001 |
| Octal (base 8) | 122201 |
| Hexadecimal (base 16) | A481 |
| Base 3 | 2010202202 |
| As time | 42113 seconds = 11 h 41 min 53 s |
Is 42113 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42113 a prime number?
No. 42113 = 23 × 1831, so it is divisible by 23.
What are the factors of 42113?
1, 23, 1831, 42113.
What is 42113 in binary?
1010010010000001 (hexadecimal A481, octal 122201).
What is the square root of 42113?
About 205.2145.
Is 42113 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 42113?
42113 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1831, the product of two primes.