The number 98320
98320 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1229. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1229, 2458, 4916, 6145, 9832, 12290 … 98320.
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How to work it out
- 1
98320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98320 is composite. Its prime factorisation is
- 3
The divisors add up to 228780; without 98320 itself that is 130460, so 98320 is abundant (130460 is more than 98320). Euler's totient φ(98320) = 39296 numbers up to 98320 share no factor with it.
- 4
The digits of 98320 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98320 = 2^{4} \times 5 \times 1229 \]98320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 228780 |
| Euler totient φ(n) | 39296 |
| Square | 9666822400 |
| Cube | 950441978368000 |
| Square root | 313.560202 (= 4√6145) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.832 × |
98320 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand three hundred and twenty |
| Binary (base 2) | 11000000000010000 |
| Octal (base 8) | 300020 |
| Hexadecimal (base 16) | 18010 |
| Base 3 | 11222212111 |
| As time | 98320 seconds = 27 h 18 min 40 s |
Is 98320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98320 ÷ 2 = 49160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98320 ÷ 4 = 24580) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98320 ÷ 5 = 19664) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (98320 ÷ 8 = 12290) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98320 ÷ 10 = 9832) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98320 a prime number?
No. 98320 = × 5 × 1229, so it is divisible by 2.
What are the factors of 98320?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1229, 2458, 4916, 6145, 9832, 12290, 19664, 24580, 49160, 98320.
What is 98320 in binary?
11000000000010000 (hexadecimal 18010, octal 300020).
What is the square root of 98320?
About 313.5602, exactly 4√6145.
Is 98320 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 98320?
It is a composite number with 20 divisors.