The number 98742
98742 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 2351. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371, 98742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98742 is composite. Its prime factorisation is
- 3
The divisors add up to 225792; without 98742 itself that is 127050, so 98742 is abundant (127050 is more than 98742). Euler's totient φ(98742) = 28200 numbers up to 98742 share no factor with it.
- 4
The digits of 98742 add up to 30, 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
\[ 98742 = 2 \times 3 \times 7 \times 2351 \]
98742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 225792 |
| Euler totient φ(n) | 28200 |
| Square | 9749982564 |
| Cube | 962732778334488 |
| Square root | 314.232398 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8742 × |
98742 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and forty-two |
| Binary (base 2) | 11000000110110110 |
| Octal (base 8) | 300666 |
| Hexadecimal (base 16) | 181B6 |
| Base 3 | 12000110010 |
| As time | 98742 seconds = 27 h 25 min 42 s |
Is 98742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98742 ÷ 2 = 49371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98742 ÷ 3 = 32914) | 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 (98742 ÷ 6 = 16457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98742 ÷ 7 = 14106) | 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 3) | 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 6) | 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 98742 a prime number?
No. 98742 = 2 × 3 × 7 × 2351, so it is divisible by 2.
What are the factors of 98742?
1, 2, 3, 6, 7, 14, 21, 42, 2351, 4702, 7053, 14106, 16457, 32914, 49371, 98742.
What is 98742 in binary?
11000000110110110 (hexadecimal 181B6, octal 300666).
What is the square root of 98742?
About 314.2324.
Is 98742 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 98742?
It is a composite number with 16 divisors.