The number 98013
98013 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 883. Divisors (8): 1, 3, 37, 111, 883, 2649, 32671, 98013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98013 is composite. Its prime factorisation is
- 3
The divisors add up to 134368; without 98013 itself that is 36355, so 98013 is deficient (36355 is less than 98013). Euler's totient φ(98013) = 63504 numbers up to 98013 share no factor with it.
- 4
The digits of 98013 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98013 = 3 \times 37 \times 883 \]
98013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 134368 |
| Euler totient φ(n) | 63504 |
| Square | 9606548169 |
| Cube | 941566605688197 |
| Square root | 313.070280 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8013 × |
98013 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and thirteen |
| Binary (base 2) | 10111111011011101 |
| Octal (base 8) | 277335 |
| Hexadecimal (base 16) | 17EDD |
| Base 3 | 11222110010 |
| As time | 98013 seconds = 27 h 13 min 33 s |
Is 98013 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 | Yes (98013 ÷ 3 = 32671) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98013 a prime number?
No. 98013 = 3 × 37 × 883, so it is divisible by 3.
What are the factors of 98013?
1, 3, 37, 111, 883, 2649, 32671, 98013.
What is 98013 in binary?
10111111011011101 (hexadecimal 17EDD, octal 277335).
What is the square root of 98013?
About 313.0703.
Is 98013 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 98013?
It is a composite number with 8 divisors.