The number 98440
98440 is a composite number with 32 divisors. Its prime factorisation is × 5 × 23 × 107. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 107, 115, 184, 214, 230 … 98440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98440 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98440 is composite. Its prime factorisation is
- 3
The divisors add up to 233280; without 98440 itself that is 134840, so 98440 is abundant (134840 is more than 98440). Euler's totient φ(98440) = 37312 numbers up to 98440 share no factor with it.
- 4
The digits of 98440 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98440 = 2^{3} \times 5 \times 23 \times 107 \]98440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 233280 |
| Euler totient φ(n) | 37312 |
| Square | 9690433600 |
| Cube | 953926283584000 |
| Square root | 313.751494 (= 2√24610) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.844 × |
98440 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and forty |
| Binary (base 2) | 11000000010001000 |
| Octal (base 8) | 300210 |
| Hexadecimal (base 16) | 18088 |
| Base 3 | 12000000221 |
| As time | 98440 seconds = 27 h 20 min 40 s |
Is 98440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98440 ÷ 2 = 49220) | 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 (98440 ÷ 4 = 24610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (98440 ÷ 5 = 19688) | 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 6) | 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 | Yes (98440 ÷ 8 = 12305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (98440 ÷ 10 = 9844) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 98440 a prime number?
No. 98440 = × 5 × 23 × 107, so it is divisible by 2.
What are the factors of 98440?
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 107, 115, 184, 214, 230, 428, 460, 535, 856, 920, 1070, 2140, 2461, 4280, 4922, 9844, 12305, 19688, 24610, 49220, 98440.
What is 98440 in binary?
11000000010001000 (hexadecimal 18088, octal 300210).
What is the square root of 98440?
About 313.7515, exactly 2√24610.
Is 98440 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 98440?
It is a composite number with 32 divisors.