The number 7364
7364 is a composite number with 12 divisors. Its prime factorisation is × 7 × 263. Divisors (12): 1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7364 is composite. Its prime factorisation is
- 3
The divisors add up to 14784; without 7364 itself that is 7420, so 7364 is abundant (7420 is more than 7364). Euler's totient φ(7364) = 3144 numbers up to 7364 share no factor with it.
- 4
The digits of 7364 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7364 = 2^{2} \times 7 \times 263 \]7364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14784 |
| Euler totient φ(n) | 3144 |
| Square | 54228496 |
| Cube | 399338644544 |
| Square root | 85.813752 (= 2√1841) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.364 × |
7364 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixty-four |
| Binary (base 2) | 1110011000100 |
| Octal (base 8) | 16304 |
| Hexadecimal (base 16) | 1CC4 |
| Base 3 | 101002202 |
| As time | 7364 seconds = 2 h 2 min 44 s |
Is 7364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7364 ÷ 2 = 3682) | 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 (7364 ÷ 4 = 1841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (7364 ÷ 7 = 1052) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7364 a prime number?
No. 7364 = × 7 × 263, so it is divisible by 2.
What are the factors of 7364?
1, 2, 4, 7, 14, 28, 263, 526, 1052, 1841, 3682, 7364.
What is 7364 in binary?
1110011000100 (hexadecimal 1CC4, octal 16304).
What is the square root of 7364?
About 85.8138, exactly 2√1841.
Is 7364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 7364?
It is a composite number with 12 divisors.