The number 97072
97072 is a composite number with 10 divisors. Its prime factorisation is × 6067. Divisors (10): 1, 2, 4, 8, 16, 6067, 12134, 24268, 48536, 97072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97072 is composite. Its prime factorisation is
- 3
The divisors add up to 188108; without 97072 itself that is 91036, so 97072 is deficient (91036 is less than 97072). Euler's totient φ(97072) = 48528 numbers up to 97072 share no factor with it.
- 4
The digits of 97072 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97072 = 2^{4} \times 6067 \]97072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 188108 |
| Euler totient φ(n) | 48528 |
| Square | 9422973184 |
| Cube | 914706852917248 |
| Square root | 311.563798 (= 4√6067) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 27 |
| Scientific notation | 9.7072 × |
97072 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand and seventy-two |
| Binary (base 2) | 10111101100110000 |
| Octal (base 8) | 275460 |
| Hexadecimal (base 16) | 17B30 |
| Base 3 | 11221011021 |
| As time | 97072 seconds = 26 h 57 min 52 s |
Is 97072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97072 ÷ 2 = 48536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97072 ÷ 4 = 24268) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (97072 ÷ 8 = 12134) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97072 a prime number?
No. 97072 = × 6067, so it is divisible by 2.
What are the factors of 97072?
1, 2, 4, 8, 16, 6067, 12134, 24268, 48536, 97072.
What is 97072 in binary?
10111101100110000 (hexadecimal 17B30, octal 275460).
What is the square root of 97072?
About 311.5638, exactly 4√6067.
Is 97072 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 97072?
It is a composite number with 10 divisors.