The number 96972
96972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 8081. Divisors (12): 1, 2, 3, 4, 6, 12, 8081, 16162, 24243, 32324, 48486, 96972.
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How to work it out
- 1
96972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96972 is composite. Its prime factorisation is
- 3
The divisors add up to 226296; without 96972 itself that is 129324, so 96972 is abundant (129324 is more than 96972). Euler's totient φ(96972) = 32320 numbers up to 96972 share no factor with it.
- 4
The digits of 96972 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96972 = 2^{2} \times 3 \times 8081 \]96972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 226296 |
| Euler totient φ(n) | 32320 |
| Square | 9403568784 |
| Cube | 911882872122048 |
| Square root | 311.403276 (= 2√24243) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.6972 × |
96972 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand nine hundred and seventy-two |
| Binary (base 2) | 10111101011001100 |
| Octal (base 8) | 275314 |
| Hexadecimal (base 16) | 17ACC |
| Base 3 | 11221000120 |
| As time | 96972 seconds = 26 h 56 min 12 s |
Is 96972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96972 ÷ 2 = 48486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96972 ÷ 3 = 32324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96972 ÷ 4 = 24243) | 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 (96972 ÷ 6 = 16162) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96972 ÷ 12 = 8081) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96972 a prime number?
No. 96972 = × 3 × 8081, so it is divisible by 2.
What are the factors of 96972?
1, 2, 3, 4, 6, 12, 8081, 16162, 24243, 32324, 48486, 96972.
What is 96972 in binary?
10111101011001100 (hexadecimal 17ACC, octal 275314).
What is the square root of 96972?
About 311.4033, exactly 2√24243.
Is 96972 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 96972?
It is a composite number with 12 divisors.