The number 98016
98016 is a composite number with 24 divisors. Its prime factorisation is × 3 × 1021. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1021, 2042, 3063, 4084 … 98016.
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How to work it out
- 1
What is special about 98016: a Harshad number: divisible by its digit sum 24.
- 2
98016 is composite. Its prime factorisation is
- 3
The divisors add up to 257544; without 98016 itself that is 159528, so 98016 is abundant (159528 is more than 98016). Euler's totient φ(98016) = 32640 numbers up to 98016 share no factor with it.
- 4
The digits of 98016 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98016 = 2^{5} \times 3 \times 1021 \]98016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 257544 |
| Euler totient φ(n) | 32640 |
| Square | 9607136256 |
| Cube | 941653067268096 |
| Square root | 313.075071 (= 4√6126) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.8016 × |
98016 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand and sixteen |
| Binary (base 2) | 10111111011100000 |
| Octal (base 8) | 277340 |
| Hexadecimal (base 16) | 17EE0 |
| Base 3 | 11222110020 |
| As time | 98016 seconds = 27 h 13 min 36 s |
Is 98016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98016 ÷ 2 = 49008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98016 ÷ 3 = 32672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98016 ÷ 4 = 24504) | 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 | Yes (98016 ÷ 6 = 16336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (98016 ÷ 8 = 12252) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (98016 ÷ 12 = 8168) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98016 a prime number?
No. 98016 = × 3 × 1021, so it is divisible by 2.
What are the factors of 98016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504, 32672, 49008, 98016.
What is 98016 in binary?
10111111011100000 (hexadecimal 17EE0, octal 277340).
What is the square root of 98016?
About 313.0751, exactly 4√6126.
Is 98016 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 98016?
98016 is a Harshad number: divisible by its digit sum 24.