The number 42133
42133 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 463. Divisors (8): 1, 7, 13, 91, 463, 3241, 6019, 42133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42133: a Harshad number: divisible by its digit sum 13.
- 2
42133 is composite. Its prime factorisation is
- 3
The divisors add up to 51968; without 42133 itself that is 9835, so 42133 is deficient (9835 is less than 42133). Euler's totient φ(42133) = 33264 numbers up to 42133 share no factor with it.
- 4
The digits of 42133 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42133 = 7 \times 13 \times 463 \]
42133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51968 |
| Euler totient φ(n) | 33264 |
| Square | 1775189689 |
| Cube | 74794067166637 |
| Square root | 205.263246 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2133 × |
42133 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and thirty-three |
| Binary (base 2) | 1010010010010101 |
| Octal (base 8) | 122225 |
| Hexadecimal (base 16) | A495 |
| Base 3 | 2010210111 |
| As time | 42133 seconds = 11 h 42 min 13 s |
Is 42133 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42133 ÷ 7 = 6019) | 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 4) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42133 a prime number?
No. 42133 = 7 × 13 × 463, so it is divisible by 7.
What are the factors of 42133?
1, 7, 13, 91, 463, 3241, 6019, 42133.
What is 42133 in binary?
1010010010010101 (hexadecimal A495, octal 122225).
What is the square root of 42133?
About 205.2632.
Is 42133 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42133?
42133 is a Harshad number: divisible by its digit sum 13.