The number 98721
98721 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1567. Divisors (12): 1, 3, 7, 9, 21, 63, 1567, 4701, 10969, 14103, 32907, 98721.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98721 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98721 is composite. Its prime factorisation is
- 3
The divisors add up to 163072; without 98721 itself that is 64351, so 98721 is deficient (64351 is less than 98721). Euler's totient φ(98721) = 56376 numbers up to 98721 share no factor with it.
- 4
The digits of 98721 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98721 = 3^{2} \times 7 \times 1567 \]98721 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 163072 |
| Euler totient φ(n) | 56376 |
| Square | 9745835841 |
| Cube | 962118660059361 |
| Square root | 314.198982 (= 3√10969) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.8721 × |
98721 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand seven hundred and twenty-one |
| Binary (base 2) | 11000000110100001 |
| Octal (base 8) | 300641 |
| Hexadecimal (base 16) | 181A1 |
| Base 3 | 12000102100 |
| As time | 98721 seconds = 27 h 25 min 21 s |
Is 98721 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98721 ÷ 3 = 32907) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98721 ÷ 7 = 14103) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (98721 ÷ 9 = 10969) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98721 a prime number?
No. 98721 = × 7 × 1567, so it is divisible by 3.
What are the factors of 98721?
1, 3, 7, 9, 21, 63, 1567, 4701, 10969, 14103, 32907, 98721.
What is 98721 in binary?
11000000110100001 (hexadecimal 181A1, octal 300641).
What is the square root of 98721?
About 314.1990, exactly 3√10969.
Is 98721 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 98721?
It is a composite number with 12 divisors.