The number 42036
42036 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 113. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452 … 42036.
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How to work it out
- 1
42036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42036 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 42036 itself that is 60108, so 42036 is abundant (60108 is more than 42036). Euler's totient φ(42036) = 13440 numbers up to 42036 share no factor with it.
- 4
The digits of 42036 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42036 = 2^{2} \times 3 \times 31 \times 113 \]42036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 13440 |
| Square | 1767025296 |
| Cube | 74278675342656 |
| Square root | 205.026828 (= 2√10509) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2036 × |
42036 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and thirty-six |
| Binary (base 2) | 1010010000110100 |
| Octal (base 8) | 122064 |
| Hexadecimal (base 16) | A434 |
| Base 3 | 2010122220 |
| As time | 42036 seconds = 11 h 40 min 36 s |
Is 42036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42036 ÷ 2 = 21018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42036 ÷ 3 = 14012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42036 ÷ 4 = 10509) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42036 ÷ 6 = 7006) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (42036 ÷ 12 = 3503) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42036 a prime number?
No. 42036 = × 3 × 31 × 113, so it is divisible by 2.
What are the factors of 42036?
1, 2, 3, 4, 6, 12, 31, 62, 93, 113, 124, 186, 226, 339, 372, 452, 678, 1356, 3503, 7006, 10509, 14012, 21018, 42036.
What is 42036 in binary?
1010010000110100 (hexadecimal A434, octal 122064).
What is the square root of 42036?
About 205.0268, exactly 2√10509.
Is 42036 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42036?
It is a composite number with 24 divisors.