The number 98003
98003 is a composite number with 4 divisors. Its prime factorisation is 23 × 4261. Divisors (4): 1, 23, 4261, 98003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98003: a semiprime: 23 × 4261, the product of two primes.
- 2
98003 is composite. Its prime factorisation is
- 3
The divisors add up to 102288; without 98003 itself that is 4285, so 98003 is deficient (4285 is less than 98003). Euler's totient φ(98003) = 93720 numbers up to 98003 share no factor with it.
- 4
The digits of 98003 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98003 = 23 \times 4261 \]
98003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 102288 |
| Euler totient φ(n) | 93720 |
| Square | 9604588009 |
| Cube | 941278438646027 |
| Square root | 313.054308 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8003 × |
98003 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and three |
| Binary (base 2) | 10111111011010011 |
| Octal (base 8) | 277323 |
| Hexadecimal (base 16) | 17ED3 |
| Base 3 | 11222102202 |
| As time | 98003 seconds = 27 h 13 min 23 s |
Is 98003 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 3) | 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 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 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98003 a prime number?
No. 98003 = 23 × 4261, so it is divisible by 23.
What are the factors of 98003?
1, 23, 4261, 98003.
What is 98003 in binary?
10111111011010011 (hexadecimal 17ED3, octal 277323).
What is the square root of 98003?
About 313.0543.
Is 98003 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 98003?
98003 is a semiprime: 23 × 4261, the product of two primes.