The number 7300
7300 is a composite number with 18 divisors. Its prime factorisation is × × 73. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825 … 7300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7300: a Harshad number: divisible by its digit sum 10.
- 2
7300 is composite. Its prime factorisation is
- 3
The divisors add up to 16058; without 7300 itself that is 8758, so 7300 is abundant (8758 is more than 7300). Euler's totient φ(7300) = 2880 numbers up to 7300 share no factor with it.
- 4
The digits of 7300 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7300 = 2^{2} \times 5^{2} \times 73 \]7300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 16058 |
| Euler totient φ(n) | 2880 |
| Square | 53290000 |
| Cube | 389017000000 |
| Square root | 85.440037 (= 10√73) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 7.3 × |
7300 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred |
| Binary (base 2) | 1110010000100 |
| Octal (base 8) | 16204 |
| Hexadecimal (base 16) | 1C84 |
| Base 3 | 101000101 |
| As time | 7300 seconds = 2 h 1 min 40 s |
Is 7300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7300 ÷ 2 = 3650) | 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 (7300 ÷ 4 = 1825) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7300 ÷ 5 = 1460) | 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 6) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7300 ÷ 10 = 730) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 7300 a prime number?
No. 7300 = × × 73, so it is divisible by 2.
What are the factors of 7300?
1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300.
What is 7300 in binary?
1110010000100 (hexadecimal 1C84, octal 16204).
What is the square root of 7300?
About 85.4400, exactly 10√73.
Is 7300 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 7300?
7300 is a Harshad number: divisible by its digit sum 10.