The number 84402
84402 is a composite number with 20 divisors. Its prime factorisation is 2 × × 521. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 521, 1042, 1563, 3126, 4689, 9378 … 84402.
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How to work it out
- 1
What is special about 84402: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
84402 is composite. Its prime factorisation is
- 3
The divisors add up to 189486; without 84402 itself that is 105084, so 84402 is abundant (105084 is more than 84402). Euler's totient φ(84402) = 28080 numbers up to 84402 share no factor with it.
- 4
The digits of 84402 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
\[ 84402 = 2 \times 3^{4} \times 521 \]84402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 189486 |
| Euler totient φ(n) | 28080 |
| Square | 7123697604 |
| Cube | 601254325172808 |
| Square root | 290.520223 (= 9√1042) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.4402 × |
84402 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and two |
| Binary (base 2) | 10100100110110010 |
| Octal (base 8) | 244662 |
| Hexadecimal (base 16) | 149B2 |
| Base 3 | 11021210000 |
| As time | 84402 seconds = 23 h 26 min 42 s |
Is 84402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84402 ÷ 2 = 42201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84402 ÷ 3 = 28134) | 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 (84402 ÷ 6 = 14067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (84402 ÷ 9 = 9378) | 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 10) | 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 84402 a prime number?
No. 84402 = 2 × × 521, so it is divisible by 2.
What are the factors of 84402?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 521, 1042, 1563, 3126, 4689, 9378, 14067, 28134, 42201, 84402.
What is 84402 in binary?
10100100110110010 (hexadecimal 149B2, octal 244662).
What is the square root of 84402?
About 290.5202, exactly 9√1042.
Is 84402 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 84402?
84402 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.