The number 98480
98480 is a composite number with 20 divisors. Its prime factorisation is × 5 × 1231. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1231, 2462, 4924, 6155, 9848, 12310 … 98480.
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How to work it out
- 1
98480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98480 is composite. Its prime factorisation is
- 3
The divisors add up to 229152; without 98480 itself that is 130672, so 98480 is abundant (130672 is more than 98480). Euler's totient φ(98480) = 39360 numbers up to 98480 share no factor with it.
- 4
The digits of 98480 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98480 = 2^{4} \times 5 \times 1231 \]98480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 229152 |
| Euler totient φ(n) | 39360 |
| Square | 9698310400 |
| Cube | 955089608192000 |
| Square root | 313.815232 (= 4√6155) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.848 × |
98480 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and eighty |
| Binary (base 2) | 11000000010110000 |
| Octal (base 8) | 300260 |
| Hexadecimal (base 16) | 180B0 |
| Base 3 | 12000002102 |
| As time | 98480 seconds = 27 h 21 min 20 s |
Is 98480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98480 ÷ 2 = 49240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98480 ÷ 4 = 24620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98480 ÷ 5 = 19696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (98480 ÷ 8 = 12310) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98480 ÷ 10 = 9848) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98480 a prime number?
No. 98480 = × 5 × 1231, so it is divisible by 2.
What are the factors of 98480?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 1231, 2462, 4924, 6155, 9848, 12310, 19696, 24620, 49240, 98480.
What is 98480 in binary?
11000000010110000 (hexadecimal 180B0, octal 300260).
What is the square root of 98480?
About 313.8152, exactly 4√6155.
Is 98480 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 98480?
It is a composite number with 20 divisors.