The number 98042
98042 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 47 × 149. Divisors (16): 1, 2, 7, 14, 47, 94, 149, 298, 329, 658, 1043, 2086, 7003, 14006, 49021, 98042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98042 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 98042 itself that is 74758, so 98042 is deficient (74758 is less than 98042). Euler's totient φ(98042) = 40848 numbers up to 98042 share no factor with it.
- 4
The digits of 98042 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98042 = 2 \times 7 \times 47 \times 149 \]
98042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 40848 |
| Square | 9612233764 |
| Cube | 942402622690088 |
| Square root | 313.116592 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8042 × |
98042 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and forty-two |
| Binary (base 2) | 10111111011111010 |
| Octal (base 8) | 277372 |
| Hexadecimal (base 16) | 17EFA |
| Base 3 | 11222111012 |
| As time | 98042 seconds = 27 h 14 min 2 s |
Is 98042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98042 ÷ 2 = 49021) | 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 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98042 ÷ 7 = 14006) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98042 a prime number?
No. 98042 = 2 × 7 × 47 × 149, so it is divisible by 2.
What are the factors of 98042?
1, 2, 7, 14, 47, 94, 149, 298, 329, 658, 1043, 2086, 7003, 14006, 49021, 98042.
What is 98042 in binary?
10111111011111010 (hexadecimal 17EFA, octal 277372).
What is the square root of 98042?
About 313.1166.
Is 98042 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 98042?
It is a composite number with 16 divisors.