The number 84942
84942 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 13. Divisors (48): 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78 … 84942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84942: a Harshad number: divisible by its digit sum 27.
- 2
84942 is composite. Its prime factorisation is
- 3
The divisors add up to 223440; without 84942 itself that is 138498, so 84942 is abundant (138498 is more than 84942). Euler's totient φ(84942) = 23760 numbers up to 84942 share no factor with it.
- 4
The digits of 84942 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84942 = 2 \times 3^{3} \times 11^{2} \times 13 \]84942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 223440 |
| Euler totient φ(n) | 23760 |
| Square | 7215143364 |
| Cube | 612868707624888 |
| Square root | 291.448109 (= 33√78) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.4942 × |
84942 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand nine hundred and forty-two |
| Binary (base 2) | 10100101111001110 |
| Octal (base 8) | 245716 |
| Hexadecimal (base 16) | 14BCE |
| Base 3 | 11022112000 |
| As time | 84942 seconds = 23 h 35 min 42 s |
Is 84942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84942 ÷ 2 = 42471) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84942 ÷ 3 = 28314) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (84942 ÷ 6 = 14157) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84942 ÷ 9 = 9438) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (84942 ÷ 11 = 7722) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84942 a prime number?
No. 84942 = 2 × × × 13, so it is divisible by 2.
What are the factors of 84942?
1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 121, 143, 198, 234, 242, 286, 297, 351, 363, 429, 594, 702, 726, 858, 1089, 1287, 1573, 2178, 2574, 3146, 3267, 3861, 4719, 6534, 7722, 9438, 14157, 28314, 42471, 84942.
What is 84942 in binary?
10100101111001110 (hexadecimal 14BCE, octal 245716).
What is the square root of 84942?
About 291.4481, exactly 33√78.
Is 84942 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 84942?
84942 is a Harshad number: divisible by its digit sum 27.