The number 9200
9200 is a composite number with 30 divisors. Its prime factorisation is × × 23. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100 … 9200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9200 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9200 is composite. Its prime factorisation is
- 3
The divisors add up to 23064; without 9200 itself that is 13864, so 9200 is abundant (13864 is more than 9200). Euler's totient φ(9200) = 3520 numbers up to 9200 share no factor with it.
- 4
The digits of 9200 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9200 = 2^{4} \times 5^{2} \times 23 \]9200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 23064 |
| Euler totient φ(n) | 3520 |
| Square | 84640000 |
| Cube | 778688000000 |
| Square root | 95.916630 (= 20√23) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.2 × |
9200 in other forms
| Form | Value |
|---|---|
| In words | nine thousand two hundred |
| Binary (base 2) | 10001111110000 |
| Octal (base 8) | 21760 |
| Hexadecimal (base 16) | 23F0 |
| Base 3 | 110121202 |
| As time | 9200 seconds = 2 h 33 min 20 s |
Is 9200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9200 ÷ 2 = 4600) | 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 (9200 ÷ 4 = 2300) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9200 ÷ 5 = 1840) | 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 2) | 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 (9200 ÷ 8 = 1150) | 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 | Yes (9200 ÷ 10 = 920) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 9200 a prime number?
No. 9200 = × × 23, so it is divisible by 2.
What are the factors of 9200?
1, 2, 4, 5, 8, 10, 16, 20, 23, 25, 40, 46, 50, 80, 92, 100, 115, 184, 200, 230, 368, 400, 460, 575, 920, 1150, 1840, 2300, 4600, 9200.
What is 9200 in binary?
10001111110000 (hexadecimal 23F0, octal 21760).
What is the square root of 9200?
About 95.9166, exactly 20√23.
Is 9200 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 9200?
It is a composite number with 30 divisors.