The number 10364
10364 is a composite number with 6 divisors. Its prime factorisation is × 2591. Divisors (6): 1, 2, 4, 2591, 5182, 10364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10364 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 10364 itself that is 7780, so 10364 is deficient (7780 is less than 10364). Euler's totient φ(10364) = 5180 numbers up to 10364 share no factor with it.
- 4
The digits of 10364 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10364 = 2^{2} \times 2591 \]10364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 5180 |
| Square | 107412496 |
| Cube | 1113223108544 |
| Square root | 101.803733 (= 2√2591) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0364 × |
10364 in other forms
| Form | Value |
|---|---|
| In words | ten thousand three hundred and sixty-four |
| Binary (base 2) | 10100001111100 |
| Octal (base 8) | 24174 |
| Hexadecimal (base 16) | 287C |
| Base 3 | 112012212 |
| As time | 10364 seconds = 2 h 52 min 44 s |
Is 10364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10364 ÷ 2 = 5182) | 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 (10364 ÷ 4 = 2591) | 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 | No (remainder 4) | 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 5) | 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 2) | 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 10364 a prime number?
No. 10364 = × 2591, so it is divisible by 2.
What are the factors of 10364?
1, 2, 4, 2591, 5182, 10364.
What is 10364 in binary?
10100001111100 (hexadecimal 287C, octal 24174).
What is the square root of 10364?
About 101.8037, exactly 2√2591.
Is 10364 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 10364?
It is a composite number with 6 divisors.