The number 36725
36725 is a composite number with 12 divisors. Its prime factorisation is × 13 × 113. Divisors (12): 1, 5, 13, 25, 65, 113, 325, 565, 1469, 2825, 7345, 36725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
36725 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
36725 is composite. Its prime factorisation is
- 3
The divisors add up to 49476; without 36725 itself that is 12751, so 36725 is deficient (12751 is less than 36725). Euler's totient φ(36725) = 26880 numbers up to 36725 share no factor with it.
- 4
The digits of 36725 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36725 = 5^{2} \times 13 \times 113 \]36725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49476 |
| Euler totient φ(n) | 26880 |
| Square | 1348725625 |
| Cube | 49531948578125 |
| Square root | 191.637679 (= 5√1469) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.6725 × |
36725 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand seven hundred and twenty-five |
| Binary (base 2) | 1000111101110101 |
| Octal (base 8) | 107565 |
| Hexadecimal (base 16) | 8F75 |
| Base 3 | 1212101012 |
| As time | 36725 seconds = 10 h 12 min 5 s |
Is 36725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36725 ÷ 5 = 7345) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36725 a prime number?
No. 36725 = × 13 × 113, so it is divisible by 5.
What are the factors of 36725?
1, 5, 13, 25, 65, 113, 325, 565, 1469, 2825, 7345, 36725.
What is 36725 in binary?
1000111101110101 (hexadecimal 8F75, octal 107565).
What is the square root of 36725?
About 191.6377, exactly 5√1469.
Is 36725 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 36725?
It is a composite number with 12 divisors.