The number 7360
7360 is a composite number with 28 divisors. Its prime factorisation is × 5 × 23. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115 … 7360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7360: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
7360 is composite. Its prime factorisation is
- 3
The divisors add up to 18288; without 7360 itself that is 10928, so 7360 is abundant (10928 is more than 7360). Euler's totient φ(7360) = 2816 numbers up to 7360 share no factor with it.
- 4
The digits of 7360 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7360 = 2^{6} \times 5 \times 23 \]7360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 18288 |
| Euler totient φ(n) | 2816 |
| Square | 54169600 |
| Cube | 398688256000 |
| Square root | 85.790442 (= 8√115) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.36 × |
7360 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixty |
| Binary (base 2) | 1110011000000 |
| Octal (base 8) | 16300 |
| Hexadecimal (base 16) | 1CC0 |
| Base 3 | 101002121 |
| As time | 7360 seconds = 2 h 2 min 40 s |
Is 7360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7360 ÷ 2 = 3680) | 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 (7360 ÷ 4 = 1840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7360 ÷ 5 = 1472) | 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 3) | 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 (7360 ÷ 8 = 920) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7360 ÷ 10 = 736) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 7360 a prime number?
No. 7360 = × 5 × 23, so it is divisible by 2.
What are the factors of 7360?
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680, 7360.
What is 7360 in binary?
1110011000000 (hexadecimal 1CC0, octal 16300).
What is the square root of 7360?
About 85.7904, exactly 8√115.
Is 7360 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7360?
7360 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.