The number 96672
96672 is a composite number with 48 divisors. Its prime factorisation is × 3 × 19 × 53. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 53, 57, 76 … 96672.
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How to work it out
- 1
96672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96672 is composite. Its prime factorisation is
- 3
The divisors add up to 272160; without 96672 itself that is 175488, so 96672 is abundant (175488 is more than 96672). Euler's totient φ(96672) = 29952 numbers up to 96672 share no factor with it.
- 4
The digits of 96672 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96672 = 2^{5} \times 3 \times 19 \times 53 \]96672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 272160 |
| Euler totient φ(n) | 29952 |
| Square | 9345475584 |
| Cube | 903445815656448 |
| Square root | 310.921212 (= 4√6042) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.6672 × |
96672 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand six hundred and seventy-two |
| Binary (base 2) | 10111100110100000 |
| Octal (base 8) | 274640 |
| Hexadecimal (base 16) | 179A0 |
| Base 3 | 11220121110 |
| As time | 96672 seconds = 26 h 51 min 12 s |
Is 96672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96672 ÷ 2 = 48336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96672 ÷ 3 = 32224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96672 ÷ 4 = 24168) | 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 | Yes (96672 ÷ 6 = 16112) | 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 (96672 ÷ 8 = 12084) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96672 ÷ 12 = 8056) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96672 a prime number?
No. 96672 = × 3 × 19 × 53, so it is divisible by 2.
What are the factors of 96672?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 53, 57, 76, 96, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 608, 636, 848, 912, 1007, 1272, 1696, 1824, 2014, 2544, 3021, 4028, 5088, 6042, 8056, 12084, 16112, 24168, 32224, 48336, 96672.
What is 96672 in binary?
10111100110100000 (hexadecimal 179A0, octal 274640).
What is the square root of 96672?
About 310.9212, exactly 4√6042.
Is 96672 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 96672?
It is a composite number with 48 divisors.