The number 98002
98002 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 2579. Divisors (8): 1, 2, 19, 38, 2579, 5158, 49001, 98002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98002: a Harshad number: divisible by its digit sum 19.
- 2
98002 is composite. Its prime factorisation is
- 3
The divisors add up to 154800; without 98002 itself that is 56798, so 98002 is deficient (56798 is less than 98002). Euler's totient φ(98002) = 46404 numbers up to 98002 share no factor with it.
- 4
The digits of 98002 add up to 19, 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
\[ 98002 = 2 \times 19 \times 2579 \]
98002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 154800 |
| Euler totient φ(n) | 46404 |
| Square | 9604392004 |
| Cube | 941249625176008 |
| Square root | 313.052711 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8002 × |
98002 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and two |
| Binary (base 2) | 10111111011010010 |
| Octal (base 8) | 277322 |
| Hexadecimal (base 16) | 17ED2 |
| Base 3 | 11222102201 |
| As time | 98002 seconds = 27 h 13 min 22 s |
Is 98002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98002 ÷ 2 = 49001) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 2) | 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 | No (remainder 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98002 a prime number?
No. 98002 = 2 × 19 × 2579, so it is divisible by 2.
What are the factors of 98002?
1, 2, 19, 38, 2579, 5158, 49001, 98002.
What is 98002 in binary?
10111111011010010 (hexadecimal 17ED2, octal 277322).
What is the square root of 98002?
About 313.0527.
Is 98002 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 98002?
98002 is a Harshad number: divisible by its digit sum 19.