The number 98920
98920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2473. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2473, 4946, 9892, 12365, 19784, 24730, 49460, 98920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98920: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98920 is composite. Its prime factorisation is
- 3
The divisors add up to 222660; without 98920 itself that is 123740, so 98920 is abundant (123740 is more than 98920). Euler's totient φ(98920) = 39552 numbers up to 98920 share no factor with it.
- 4
The digits of 98920 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98920 = 2^{3} \times 5 \times 2473 \]98920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 222660 |
| Euler totient φ(n) | 39552 |
| Square | 9785166400 |
| Cube | 967948660288000 |
| Square root | 314.515500 (= 2√24730) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.892 × |
98920 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand nine hundred and twenty |
| Binary (base 2) | 11000001001101000 |
| Octal (base 8) | 301150 |
| Hexadecimal (base 16) | 18268 |
| Base 3 | 12000200201 |
| As time | 98920 seconds = 27 h 28 min 40 s |
Is 98920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98920 ÷ 2 = 49460) | 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 (98920 ÷ 4 = 24730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98920 ÷ 5 = 19784) | 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 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 | Yes (98920 ÷ 8 = 12365) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98920 ÷ 10 = 9892) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98920 a prime number?
No. 98920 = × 5 × 2473, so it is divisible by 2.
What are the factors of 98920?
1, 2, 4, 5, 8, 10, 20, 40, 2473, 4946, 9892, 12365, 19784, 24730, 49460, 98920.
What is 98920 in binary?
11000001001101000 (hexadecimal 18268, octal 301150).
What is the square root of 98920?
About 314.5155, exactly 2√24730.
Is 98920 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 98920?
98920 is a happy number: repeatedly adding the squares of its digits reaches 1.