The number 98272
98272 is a composite number with 24 divisors. Its prime factorisation is × 37 × 83. Divisors (24): 1, 2, 4, 8, 16, 32, 37, 74, 83, 148, 166, 296, 332, 592, 664, 1184 … 98272.
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How to work it out
- 1
98272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98272 is composite. Its prime factorisation is
- 3
The divisors add up to 201096; without 98272 itself that is 102824, so 98272 is abundant (102824 is more than 98272). Euler's totient φ(98272) = 47232 numbers up to 98272 share no factor with it.
- 4
The digits of 98272 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98272 = 2^{5} \times 37 \times 83 \]98272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 201096 |
| Euler totient φ(n) | 47232 |
| Square | 9657385984 |
| Cube | 949050635419648 |
| Square root | 313.483652 (= 4√6142) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.8272 × |
98272 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and seventy-two |
| Binary (base 2) | 10111111111100000 |
| Octal (base 8) | 277740 |
| Hexadecimal (base 16) | 17FE0 |
| Base 3 | 11222210201 |
| As time | 98272 seconds = 27 h 17 min 52 s |
Is 98272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98272 ÷ 2 = 49136) | 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 (98272 ÷ 4 = 24568) | 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 | 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 (98272 ÷ 8 = 12284) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 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 98272 a prime number?
No. 98272 = × 37 × 83, so it is divisible by 2.
What are the factors of 98272?
1, 2, 4, 8, 16, 32, 37, 74, 83, 148, 166, 296, 332, 592, 664, 1184, 1328, 2656, 3071, 6142, 12284, 24568, 49136, 98272.
What is 98272 in binary?
10111111111100000 (hexadecimal 17FE0, octal 277740).
What is the square root of 98272?
About 313.4837, exactly 4√6142.
Is 98272 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 98272?
It is a composite number with 24 divisors.