The number 7380
7380 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 41. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45 … 7380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7380: a Harshad number: divisible by its digit sum 18.
- 2
7380 is composite. Its prime factorisation is
- 3
The divisors add up to 22932; without 7380 itself that is 15552, so 7380 is abundant (15552 is more than 7380). Euler's totient φ(7380) = 1920 numbers up to 7380 share no factor with it.
- 4
The digits of 7380 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7380 = 2^{2} \times 3^{2} \times 5 \times 41 \]7380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 22932 |
| Euler totient φ(n) | 1920 |
| Square | 54464400 |
| Cube | 401947272000 |
| Square root | 85.906926 (= 6√205) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.38 × |
7380 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and eighty |
| Binary (base 2) | 1110011010100 |
| Octal (base 8) | 16324 |
| Hexadecimal (base 16) | 1CD4 |
| Base 3 | 101010100 |
| As time | 7380 seconds = 2 h 3 min 0 s |
Is 7380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7380 ÷ 2 = 3690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7380 ÷ 3 = 2460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7380 ÷ 4 = 1845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7380 ÷ 5 = 1476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7380 ÷ 6 = 1230) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7380 ÷ 9 = 820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7380 ÷ 10 = 738) | 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 | Yes (7380 ÷ 12 = 615) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7380 a prime number?
No. 7380 = × × 5 × 41, so it is divisible by 2.
What are the factors of 7380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 41, 45, 60, 82, 90, 123, 164, 180, 205, 246, 369, 410, 492, 615, 738, 820, 1230, 1476, 1845, 2460, 3690, 7380.
What is 7380 in binary?
1110011010100 (hexadecimal 1CD4, octal 16324).
What is the square root of 7380?
About 85.9069, exactly 6√205.
Is 7380 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7380?
7380 is a Harshad number: divisible by its digit sum 18.