The number 9472
9472 is a composite number with 18 divisors. Its prime factorisation is × 37. Divisors (18): 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368 … 9472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9472 is composite. Its prime factorisation is
- 3
The divisors add up to 19418; without 9472 itself that is 9946, so 9472 is abundant (9946 is more than 9472). Euler's totient φ(9472) = 4608 numbers up to 9472 share no factor with it.
- 4
The digits of 9472 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9472 = 2^{8} \times 37 \]9472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 19418 |
| Euler totient φ(n) | 4608 |
| Square | 89718784 |
| Cube | 849816322048 |
| Square root | 97.324200 (= 16√37) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 29 |
| Scientific notation | 9.472 × |
9472 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and seventy-two |
| Binary (base 2) | 10010100000000 |
| Octal (base 8) | 22400 |
| Hexadecimal (base 16) | 2500 |
| Base 3 | 110222211 |
| As time | 9472 seconds = 2 h 37 min 52 s |
Is 9472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9472 ÷ 2 = 4736) | 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 (9472 ÷ 4 = 2368) | 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 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 | Yes (9472 ÷ 8 = 1184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9472 a prime number?
No. 9472 = × 37, so it is divisible by 2.
What are the factors of 9472?
1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 256, 296, 592, 1184, 2368, 4736, 9472.
What is 9472 in binary?
10010100000000 (hexadecimal 2500, octal 22400).
What is the square root of 9472?
About 97.3242, exactly 16√37.
Is 9472 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9472?
It is a composite number with 18 divisors.