The number 98520
98520 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 821. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 98520.
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How to work it out
- 1
What is special about 98520: a Harshad number: divisible by its digit sum 24.
- 2
98520 is composite. Its prime factorisation is
- 3
The divisors add up to 295920; without 98520 itself that is 197400, so 98520 is abundant (197400 is more than 98520). Euler's totient φ(98520) = 26240 numbers up to 98520 share no factor with it.
- 4
The digits of 98520 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98520 = 2^{3} \times 3 \times 5 \times 821 \]98520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 295920 |
| Euler totient φ(n) | 26240 |
| Square | 9706190400 |
| Cube | 956253878208000 |
| Square root | 313.878958 (= 2√24630) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.852 × |
98520 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand five hundred and twenty |
| Binary (base 2) | 11000000011011000 |
| Octal (base 8) | 300330 |
| Hexadecimal (base 16) | 180D8 |
| Base 3 | 12000010220 |
| As time | 98520 seconds = 27 h 22 min 0 s |
Is 98520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98520 ÷ 2 = 49260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98520 ÷ 3 = 32840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98520 ÷ 4 = 24630) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98520 ÷ 5 = 19704) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98520 ÷ 6 = 16420) | 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 | Yes (98520 ÷ 8 = 12315) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98520 ÷ 10 = 9852) | 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 | Yes (98520 ÷ 12 = 8210) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98520 a prime number?
No. 98520 = × 3 × 5 × 821, so it is divisible by 2.
What are the factors of 98520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 821, 1642, 2463, 3284, 4105, 4926, 6568, 8210, 9852, 12315, 16420, 19704, 24630, 32840, 49260, 98520.
What is 98520 in binary?
11000000011011000 (hexadecimal 180D8, octal 300330).
What is the square root of 98520?
About 313.8790, exactly 2√24630.
Is 98520 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 98520?
98520 is a Harshad number: divisible by its digit sum 24.