The number 9272
9272 is a composite number with 16 divisors. Its prime factorisation is × 19 × 61. Divisors (16): 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9272 is composite. Its prime factorisation is
- 3
The divisors add up to 18600; without 9272 itself that is 9328, so 9272 is abundant (9328 is more than 9272). Euler's totient φ(9272) = 4320 numbers up to 9272 share no factor with it.
- 4
The digits of 9272 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9272 = 2^{3} \times 19 \times 61 \]9272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18600 |
| Euler totient φ(n) | 4320 |
| Square | 85969984 |
| Cube | 797113691648 |
| Square root | 96.291225 (= 2√2318) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.272 × |
9272 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred and seventy-two |
| Binary (base 2) | 10010000111000 |
| Octal (base 8) | 22070 |
| Hexadecimal (base 16) | 2438 |
| Base 3 | 110201102 |
| As time | 9272 seconds = 2 h 34 min 32 s |
Is 9272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9272 ÷ 2 = 4636) | 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 (9272 ÷ 4 = 2318) | 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 (9272 ÷ 8 = 1159) | 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 10) | 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 9272 a prime number?
No. 9272 = × 19 × 61, so it is divisible by 2.
What are the factors of 9272?
1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272.
What is 9272 in binary?
10010000111000 (hexadecimal 2438, octal 22070).
What is the square root of 9272?
About 96.2912, exactly 2√2318.
Is 9272 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9272?
It is a composite number with 16 divisors.