The number 97472
97472 is a composite number with 14 divisors. Its prime factorisation is × 1523. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1523, 3046, 6092, 12184, 24368, 48736, 97472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97472 is composite. Its prime factorisation is
- 3
The divisors add up to 193548; without 97472 itself that is 96076, so 97472 is deficient (96076 is less than 97472). Euler's totient φ(97472) = 48704 numbers up to 97472 share no factor with it.
- 4
The digits of 97472 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97472 = 2^{6} \times 1523 \]97472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 193548 |
| Euler totient φ(n) | 48704 |
| Square | 9500790784 |
| Cube | 926061079298048 |
| Square root | 312.205061 (= 8√1523) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.7472 × |
97472 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and seventy-two |
| Binary (base 2) | 10111110011000000 |
| Octal (base 8) | 276300 |
| Hexadecimal (base 16) | 17CC0 |
| Base 3 | 11221201002 |
| As time | 97472 seconds = 27 h 4 min 32 s |
Is 97472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97472 ÷ 2 = 48736) | 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 (97472 ÷ 4 = 24368) | 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 | No (remainder 4) | 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 (97472 ÷ 8 = 12184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 97472 a prime number?
No. 97472 = × 1523, so it is divisible by 2.
What are the factors of 97472?
1, 2, 4, 8, 16, 32, 64, 1523, 3046, 6092, 12184, 24368, 48736, 97472.
What is 97472 in binary?
10111110011000000 (hexadecimal 17CC0, octal 276300).
What is the square root of 97472?
About 312.2051, exactly 8√1523.
Is 97472 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97472?
It is a composite number with 14 divisors.