The number 98672
98672 is a composite number with 20 divisors. Its prime factorisation is × 7 × 881. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 881, 1762, 3524, 6167, 7048, 12334 … 98672.
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How to work it out
- 1
98672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98672 is composite. Its prime factorisation is
- 3
The divisors add up to 218736; without 98672 itself that is 120064, so 98672 is abundant (120064 is more than 98672). Euler's totient φ(98672) = 42240 numbers up to 98672 share no factor with it.
- 4
The digits of 98672 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98672 = 2^{4} \times 7 \times 881 \]98672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 218736 |
| Euler totient φ(n) | 42240 |
| Square | 9736163584 |
| Cube | 960686733160448 |
| Square root | 314.120996 (= 4√6167) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.8672 × |
98672 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand six hundred and seventy-two |
| Binary (base 2) | 11000000101110000 |
| Octal (base 8) | 300560 |
| Hexadecimal (base 16) | 18170 |
| Base 3 | 12000100112 |
| As time | 98672 seconds = 27 h 24 min 32 s |
Is 98672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98672 ÷ 2 = 49336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (98672 ÷ 4 = 24668) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (98672 ÷ 7 = 14096) | 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 (98672 ÷ 8 = 12334) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98672 a prime number?
No. 98672 = × 7 × 881, so it is divisible by 2.
What are the factors of 98672?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 881, 1762, 3524, 6167, 7048, 12334, 14096, 24668, 49336, 98672.
What is 98672 in binary?
11000000101110000 (hexadecimal 18170, octal 300560).
What is the square root of 98672?
About 314.1210, exactly 4√6167.
Is 98672 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 98672?
It is a composite number with 20 divisors.