The number 42936
42936 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1789. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1789, 3578, 5367, 7156, 10734, 14312, 21468, 42936.
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How to work it out
- 1
What is special about 42936: a Harshad number: divisible by its digit sum 24.
- 2
42936 is composite. Its prime factorisation is
- 3
The divisors add up to 107400; without 42936 itself that is 64464, so 42936 is abundant (64464 is more than 42936). Euler's totient φ(42936) = 14304 numbers up to 42936 share no factor with it.
- 4
The digits of 42936 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42936 = 2^{3} \times 3 \times 1789 \]42936 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107400 |
| Euler totient φ(n) | 14304 |
| Square | 1843500096 |
| Cube | 79152520121856 |
| Square root | 207.210038 (= 2√10734) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2936 × |
42936 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and thirty-six |
| Binary (base 2) | 1010011110111000 |
| Octal (base 8) | 123670 |
| Hexadecimal (base 16) | A7B8 |
| Base 3 | 2011220020 |
| As time | 42936 seconds = 11 h 55 min 36 s |
Is 42936 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42936 ÷ 2 = 21468) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42936 ÷ 3 = 14312) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42936 ÷ 4 = 10734) | 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 (42936 ÷ 6 = 7156) | 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 | Yes (42936 ÷ 8 = 5367) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42936 ÷ 12 = 3578) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42936 a prime number?
No. 42936 = × 3 × 1789, so it is divisible by 2.
What are the factors of 42936?
1, 2, 3, 4, 6, 8, 12, 24, 1789, 3578, 5367, 7156, 10734, 14312, 21468, 42936.
What is 42936 in binary?
1010011110111000 (hexadecimal A7B8, octal 123670).
What is the square root of 42936?
About 207.2100, exactly 2√10734.
Is 42936 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42936?
42936 is a Harshad number: divisible by its digit sum 24.