The number 7320
7320 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 61. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61 … 7320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7320: a Harshad number: divisible by its digit sum 12.
- 2
7320 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 7320 itself that is 15000, so 7320 is abundant (15000 is more than 7320). Euler's totient φ(7320) = 1920 numbers up to 7320 share no factor with it.
- 4
The digits of 7320 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7320 = 2^{3} \times 3 \times 5 \times 61 \]7320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 1920 |
| Square | 53582400 |
| Cube | 392223168000 |
| Square root | 85.556999 (= 2√1830) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.32 × |
7320 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and twenty |
| Binary (base 2) | 1110010011000 |
| Octal (base 8) | 16230 |
| Hexadecimal (base 16) | 1C98 |
| Base 3 | 101001010 |
| As time | 7320 seconds = 2 h 2 min 0 s |
Is 7320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7320 ÷ 2 = 3660) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7320 ÷ 3 = 2440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7320 ÷ 4 = 1830) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7320 ÷ 5 = 1464) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7320 ÷ 6 = 1220) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (7320 ÷ 8 = 915) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7320 ÷ 10 = 732) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7320 ÷ 12 = 610) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7320 a prime number?
No. 7320 = × 3 × 5 × 61, so it is divisible by 2.
What are the factors of 7320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320.
What is 7320 in binary?
1110010011000 (hexadecimal 1C98, octal 16230).
What is the square root of 7320?
About 85.5570, exactly 2√1830.
Is 7320 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 7320?
7320 is a Harshad number: divisible by its digit sum 12.