The number 98813
98813 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 691. Divisors (8): 1, 11, 13, 143, 691, 7601, 8983, 98813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98813: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
98813 is composite. Its prime factorisation is
- 3
The divisors add up to 116256; without 98813 itself that is 17443, so 98813 is deficient (17443 is less than 98813). Euler's totient φ(98813) = 82800 numbers up to 98813 share no factor with it.
- 4
The digits of 98813 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98813 = 11 \times 13 \times 691 \]
98813 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 116256 |
| Euler totient φ(n) | 82800 |
| Square | 9764008969 |
| Cube | 964811018253797 |
| Square root | 314.345351 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.8813 × |
98813 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred and thirteen |
| Binary (base 2) | 11000000111111101 |
| Octal (base 8) | 300775 |
| Hexadecimal (base 16) | 181FD |
| Base 3 | 12000112202 |
| As time | 98813 seconds = 27 h 26 min 53 s |
Is 98813 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98813 ÷ 11 = 8983) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98813 a prime number?
No. 98813 = 11 × 13 × 691, so it is divisible by 11.
What are the factors of 98813?
1, 11, 13, 143, 691, 7601, 8983, 98813.
What is 98813 in binary?
11000000111111101 (hexadecimal 181FD, octal 300775).
What is the square root of 98813?
About 314.3454.
Is 98813 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 98813?
98813 is a happy number: repeatedly adding the squares of its digits reaches 1.