The number 42984
42984 is a composite number with 32 divisors. Its prime factorisation is × × 199. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 199 … 42984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42984: a Harshad number: divisible by its digit sum 27.
- 2
42984 is composite. Its prime factorisation is
- 3
The divisors add up to 120000; without 42984 itself that is 77016, so 42984 is abundant (77016 is more than 42984). Euler's totient φ(42984) = 14256 numbers up to 42984 share no factor with it.
- 4
The digits of 42984 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42984 = 2^{3} \times 3^{3} \times 199 \]42984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 120000 |
| Euler totient φ(n) | 14256 |
| Square | 1847624256 |
| Cube | 79418281019904 |
| Square root | 207.325831 (= 6√1194) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2984 × |
42984 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and eighty-four |
| Binary (base 2) | 1010011111101000 |
| Octal (base 8) | 123750 |
| Hexadecimal (base 16) | A7E8 |
| Base 3 | 2011222000 |
| As time | 42984 seconds = 11 h 56 min 24 s |
Is 42984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42984 ÷ 2 = 21492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42984 ÷ 3 = 14328) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42984 ÷ 4 = 10746) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42984 ÷ 6 = 7164) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (42984 ÷ 8 = 5373) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42984 ÷ 9 = 4776) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42984 ÷ 12 = 3582) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42984 a prime number?
No. 42984 = × × 199, so it is divisible by 2.
What are the factors of 42984?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 199, 216, 398, 597, 796, 1194, 1592, 1791, 2388, 3582, 4776, 5373, 7164, 10746, 14328, 21492, 42984.
What is 42984 in binary?
1010011111101000 (hexadecimal A7E8, octal 123750).
What is the square root of 42984?
About 207.3258, exactly 6√1194.
Is 42984 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42984?
42984 is a Harshad number: divisible by its digit sum 27.