The number 36348
36348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 233. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 233, 466, 699, 932 … 36348.
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How to work it out
- 1
36348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36348 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 36348 itself that is 55380, so 36348 is abundant (55380 is more than 36348). Euler's totient φ(36348) = 11136 numbers up to 36348 share no factor with it.
- 4
The digits of 36348 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36348 = 2^{2} \times 3 \times 13 \times 233 \]36348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 11136 |
| Square | 1321177104 |
| Cube | 48022145376192 |
| Square root | 190.651515 (= 2√9087) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.6348 × |
36348 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand three hundred and forty-eight |
| Binary (base 2) | 1000110111111100 |
| Octal (base 8) | 106774 |
| Hexadecimal (base 16) | 8DFC |
| Base 3 | 1211212020 |
| As time | 36348 seconds = 10 h 5 min 48 s |
Is 36348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36348 ÷ 2 = 18174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36348 ÷ 3 = 12116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36348 ÷ 4 = 9087) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36348 ÷ 6 = 6058) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36348 ÷ 12 = 3029) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36348 a prime number?
No. 36348 = × 3 × 13 × 233, so it is divisible by 2.
What are the factors of 36348?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 233, 466, 699, 932, 1398, 2796, 3029, 6058, 9087, 12116, 18174, 36348.
What is 36348 in binary?
1000110111111100 (hexadecimal 8DFC, octal 106774).
What is the square root of 36348?
About 190.6515, exactly 2√9087.
Is 36348 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 36348?
It is a composite number with 24 divisors.