The number 84042
84042 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 23 × 29. Divisors (48): 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 29, 42, 46, 58, 63, 69 … 84042.
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How to work it out
- 1
What is special about 84042: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
84042 is composite. Its prime factorisation is
- 3
The divisors add up to 224640; without 84042 itself that is 140598, so 84042 is abundant (140598 is more than 84042). Euler's totient φ(84042) = 22176 numbers up to 84042 share no factor with it.
- 4
The digits of 84042 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84042 = 2 \times 3^{2} \times 7 \times 23 \times 29 \]84042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 224640 |
| Euler totient φ(n) | 22176 |
| Square | 7063057764 |
| Cube | 593593500602088 |
| Square root | 289.899983 (= 3√9338) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4042 × |
84042 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand and forty-two |
| Binary (base 2) | 10100100001001010 |
| Octal (base 8) | 244112 |
| Hexadecimal (base 16) | 1484A |
| Base 3 | 11021021200 |
| As time | 84042 seconds = 23 h 20 min 42 s |
Is 84042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84042 ÷ 2 = 42021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84042 ÷ 3 = 28014) | 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 (84042 ÷ 6 = 14007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (84042 ÷ 7 = 12006) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84042 ÷ 9 = 9338) | 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 | No (remainder 2) | 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 84042 a prime number?
No. 84042 = 2 × × 7 × 23 × 29, so it is divisible by 2.
What are the factors of 84042?
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 29, 42, 46, 58, 63, 69, 87, 126, 138, 161, 174, 203, 207, 261, 322, 406, 414, 483, 522, 609, 667, 966, 1218, 1334, 1449, 1827, 2001, 2898, 3654, 4002, 4669, 6003, 9338, 12006, 14007, 28014, 42021, 84042.
What is 84042 in binary?
10100100001001010 (hexadecimal 1484A, octal 244112).
What is the square root of 84042?
About 289.9000, exactly 3√9338.
Is 84042 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84042?
84042 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.