The number 84315
84315 is a composite number with 32 divisors. Its prime factorisation is 3 × 5 × 7 × 11 × 73. Divisors (32): 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 73, 77, 105, 165, 219, 231 … 84315.
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How to work it out
- 1
What is special about 84315: a Harshad number: divisible by its digit sum 21.
- 2
84315 is composite. Its prime factorisation is
- 3
The divisors add up to 170496; without 84315 itself that is 86181, so 84315 is abundant (86181 is more than 84315). Euler's totient φ(84315) = 34560 numbers up to 84315 share no factor with it.
- 4
The digits of 84315 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84315 = 3 \times 5 \times 7 \times 11 \times 73 \]
84315 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 170496 |
| Euler totient φ(n) | 34560 |
| Square | 7109019225 |
| Cube | 599396955955875 |
| Square root | 290.370453 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 8.4315 × |
84315 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand three hundred and fifteen |
| Binary (base 2) | 10100100101011011 |
| Octal (base 8) | 244533 |
| Hexadecimal (base 16) | 1495B |
| Base 3 | 11021122210 |
| As time | 84315 seconds = 23 h 25 min 15 s |
Is 84315 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 (84315 ÷ 3 = 28105) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84315 ÷ 5 = 16863) | 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 | Yes (84315 ÷ 7 = 12045) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (84315 ÷ 11 = 7665) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84315 a prime number?
No. 84315 = 3 × 5 × 7 × 11 × 73, so it is divisible by 3.
What are the factors of 84315?
1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 73, 77, 105, 165, 219, 231, 365, 385, 511, 803, 1095, 1155, 1533, 2409, 2555, 4015, 5621, 7665, 12045, 16863, 28105, 84315.
What is 84315 in binary?
10100100101011011 (hexadecimal 1495B, octal 244533).
What is the square root of 84315?
About 290.3705.
Is 84315 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 84315?
84315 is a Harshad number: divisible by its digit sum 21.