The number 98448
98448 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 293. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 98448.
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How to work it out
- 1
98448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98448 is composite. Its prime factorisation is
- 3
The divisors add up to 291648; without 98448 itself that is 193200, so 98448 is abundant (193200 is more than 98448). Euler's totient φ(98448) = 28032 numbers up to 98448 share no factor with it.
- 4
The digits of 98448 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98448 = 2^{4} \times 3 \times 7 \times 293 \]98448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 291648 |
| Euler totient φ(n) | 28032 |
| Square | 9692008704 |
| Cube | 954158872891392 |
| Square root | 313.764243 (= 4√6153) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.8448 × |
98448 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand four hundred and forty-eight |
| Binary (base 2) | 11000000010010000 |
| Octal (base 8) | 300220 |
| Hexadecimal (base 16) | 18090 |
| Base 3 | 12000001020 |
| As time | 98448 seconds = 27 h 20 min 48 s |
Is 98448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98448 ÷ 2 = 49224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98448 ÷ 3 = 32816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98448 ÷ 4 = 24612) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (98448 ÷ 6 = 16408) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98448 ÷ 7 = 14064) | 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 (98448 ÷ 8 = 12306) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (98448 ÷ 12 = 8204) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98448 a prime number?
No. 98448 = × 3 × 7 × 293, so it is divisible by 2.
What are the factors of 98448?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 293, 336, 586, 879, 1172, 1758, 2051, 2344, 3516, 4102, 4688, 6153, 7032, 8204, 12306, 14064, 16408, 24612, 32816, 49224, 98448.
What is 98448 in binary?
11000000010010000 (hexadecimal 18090, octal 300220).
What is the square root of 98448?
About 313.7642, exactly 4√6153.
Is 98448 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 98448?
It is a composite number with 40 divisors.