The number 98142
98142 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1487. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1487, 2974, 4461, 8922, 16357, 32714, 49071, 98142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98142 is composite. Its prime factorisation is
- 3
The divisors add up to 214272; without 98142 itself that is 116130, so 98142 is abundant (116130 is more than 98142). Euler's totient φ(98142) = 29720 numbers up to 98142 share no factor with it.
- 4
The digits of 98142 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98142 = 2 \times 3 \times 11 \times 1487 \]
98142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 214272 |
| Euler totient φ(n) | 29720 |
| Square | 9631852164 |
| Cube | 945289235079288 |
| Square root | 313.276236 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8142 × |
98142 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and forty-two |
| Binary (base 2) | 10111111101011110 |
| Octal (base 8) | 277536 |
| Hexadecimal (base 16) | 17F5E |
| Base 3 | 11222121220 |
| As time | 98142 seconds = 27 h 15 min 42 s |
Is 98142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98142 ÷ 2 = 49071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98142 ÷ 3 = 32714) | 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 | Yes (98142 ÷ 6 = 16357) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (98142 ÷ 11 = 8922) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98142 a prime number?
No. 98142 = 2 × 3 × 11 × 1487, so it is divisible by 2.
What are the factors of 98142?
1, 2, 3, 6, 11, 22, 33, 66, 1487, 2974, 4461, 8922, 16357, 32714, 49071, 98142.
What is 98142 in binary?
10111111101011110 (hexadecimal 17F5E, octal 277536).
What is the square root of 98142?
About 313.2762.
Is 98142 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 98142?
It is a composite number with 16 divisors.