The number 98140
98140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 701. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 701, 1402, 2804, 3505 … 98140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98140 is composite. Its prime factorisation is
- 3
The divisors add up to 235872; without 98140 itself that is 137732, so 98140 is abundant (137732 is more than 98140). Euler's totient φ(98140) = 33600 numbers up to 98140 share no factor with it.
- 4
The digits of 98140 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98140 = 2^{2} \times 5 \times 7 \times 701 \]98140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 235872 |
| Euler totient φ(n) | 33600 |
| Square | 9631459600 |
| Cube | 945231445144000 |
| Square root | 313.273044 (= 2√24535) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.814 × |
98140 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and forty |
| Binary (base 2) | 10111111101011100 |
| Octal (base 8) | 277534 |
| Hexadecimal (base 16) | 17F5C |
| Base 3 | 11222121211 |
| As time | 98140 seconds = 27 h 15 min 40 s |
Is 98140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98140 ÷ 2 = 49070) | 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 | Yes (98140 ÷ 4 = 24535) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98140 ÷ 5 = 19628) | 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 | Yes (98140 ÷ 7 = 14020) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98140 ÷ 10 = 9814) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98140 a prime number?
No. 98140 = × 5 × 7 × 701, so it is divisible by 2.
What are the factors of 98140?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 701, 1402, 2804, 3505, 4907, 7010, 9814, 14020, 19628, 24535, 49070, 98140.
What is 98140 in binary?
10111111101011100 (hexadecimal 17F5C, octal 277534).
What is the square root of 98140?
About 313.2730, exactly 2√24535.
Is 98140 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 98140?
It is a composite number with 24 divisors.