The number 84429
84429 is a composite number with 16 divisors. Its prime factorisation is × 53 × 59. Divisors (16): 1, 3, 9, 27, 53, 59, 159, 177, 477, 531, 1431, 1593, 3127, 9381, 28143, 84429.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84429: a Harshad number: divisible by its digit sum 27.
- 2
84429 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 84429 itself that is 45171, so 84429 is deficient (45171 is less than 84429). Euler's totient φ(84429) = 54288 numbers up to 84429 share no factor with it.
- 4
The digits of 84429 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
\[ 84429 = 3^{3} \times 53 \times 59 \]84429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 54288 |
| Square | 7128256041 |
| Cube | 601831529285589 |
| Square root | 290.566688 (= 3√9381) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.4429 × |
84429 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and twenty-nine |
| Binary (base 2) | 10100100111001101 |
| Octal (base 8) | 244715 |
| Hexadecimal (base 16) | 149CD |
| Base 3 | 11021211000 |
| As time | 84429 seconds = 23 h 27 min 9 s |
Is 84429 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (84429 ÷ 3 = 28143) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (84429 ÷ 9 = 9381) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84429 a prime number?
No. 84429 = × 53 × 59, so it is divisible by 3.
What are the factors of 84429?
1, 3, 9, 27, 53, 59, 159, 177, 477, 531, 1431, 1593, 3127, 9381, 28143, 84429.
What is 84429 in binary?
10100100111001101 (hexadecimal 149CD, octal 244715).
What is the square root of 84429?
About 290.5667, exactly 3√9381.
Is 84429 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 84429?
84429 is a Harshad number: divisible by its digit sum 27.