The number 98220
98220 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1637. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1637, 3274, 4911, 6548 … 98220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98220 is composite. Its prime factorisation is
- 3
The divisors add up to 275184; without 98220 itself that is 176964, so 98220 is abundant (176964 is more than 98220). Euler's totient φ(98220) = 26176 numbers up to 98220 share no factor with it.
- 4
The digits of 98220 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98220 = 2^{2} \times 3 \times 5 \times 1637 \]98220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 275184 |
| Euler totient φ(n) | 26176 |
| Square | 9647168400 |
| Cube | 947544880248000 |
| Square root | 313.400702 (= 2√24555) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.822 × |
98220 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and twenty |
| Binary (base 2) | 10111111110101100 |
| Octal (base 8) | 277654 |
| Hexadecimal (base 16) | 17FAC |
| Base 3 | 11222201210 |
| As time | 98220 seconds = 27 h 17 min 0 s |
Is 98220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98220 ÷ 2 = 49110) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98220 ÷ 3 = 32740) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98220 ÷ 4 = 24555) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98220 ÷ 5 = 19644) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98220 ÷ 6 = 16370) | 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 4) | 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 | Yes (98220 ÷ 10 = 9822) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98220 ÷ 12 = 8185) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98220 a prime number?
No. 98220 = × 3 × 5 × 1637, so it is divisible by 2.
What are the factors of 98220?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1637, 3274, 4911, 6548, 8185, 9822, 16370, 19644, 24555, 32740, 49110, 98220.
What is 98220 in binary?
10111111110101100 (hexadecimal 17FAC, octal 277654).
What is the square root of 98220?
About 313.4007, exactly 2√24555.
Is 98220 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 98220?
It is a composite number with 24 divisors.