The number 98820
98820 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 61. Divisors (60): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 98820.
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How to work it out
- 1
What is special about 98820: a Harshad number: divisible by its digit sum 27.
- 2
98820 is composite. Its prime factorisation is
- 3
The divisors add up to 315084; without 98820 itself that is 216264, so 98820 is abundant (216264 is more than 98820). Euler's totient φ(98820) = 25920 numbers up to 98820 share no factor with it.
- 4
The digits of 98820 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98820 = 2^{2} \times 3^{4} \times 5 \times 61 \]98820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 315084 |
| Euler totient φ(n) | 25920 |
| Square | 9765392400 |
| Cube | 965016076968000 |
| Square root | 314.356486 (= 18√305) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.882 × |
98820 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred and twenty |
| Binary (base 2) | 11000001000000100 |
| Octal (base 8) | 301004 |
| Hexadecimal (base 16) | 18204 |
| Base 3 | 12000120000 |
| As time | 98820 seconds = 27 h 27 min 0 s |
Is 98820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98820 ÷ 2 = 49410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98820 ÷ 3 = 32940) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98820 ÷ 4 = 24705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98820 ÷ 5 = 19764) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98820 ÷ 6 = 16470) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98820 ÷ 9 = 10980) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98820 ÷ 10 = 9882) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98820 ÷ 12 = 8235) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98820 a prime number?
No. 98820 = × × 5 × 61, so it is divisible by 2.
What are the factors of 98820?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 61, 81, 90, 108, 122, 135, 162, 180, 183, 244, 270, 305, 324, 366, 405, 540, 549, 610, 732, 810, 915, 1098, 1220, 1620, 1647, 1830, 2196, 2745, 3294, 3660, 4941, 5490, 6588, 8235, 9882, 10980, 16470, 19764, 24705, 32940, 49410, 98820.
What is 98820 in binary?
11000001000000100 (hexadecimal 18204, octal 301004).
What is the square root of 98820?
About 314.3565, exactly 18√305.
Is 98820 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98820?
98820 is a Harshad number: divisible by its digit sum 27.