The number 40125
40125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 107. Divisors (16): 1, 3, 5, 15, 25, 75, 107, 125, 321, 375, 535, 1605, 2675, 8025, 13375, 40125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40125 is composite. Its prime factorisation is
- 3
The divisors add up to 67392; without 40125 itself that is 27267, so 40125 is deficient (27267 is less than 40125). Euler's totient φ(40125) = 21200 numbers up to 40125 share no factor with it.
- 4
The digits of 40125 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40125 = 3 \times 5^{3} \times 107 \]40125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67392 |
| Euler totient φ(n) | 21200 |
| Square | 1610015625 |
| Cube | 64601876953125 |
| Square root | 200.312256 (= 5√1605) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.0125 × |
40125 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty-five |
| Binary (base 2) | 1001110010111101 |
| Octal (base 8) | 116275 |
| Hexadecimal (base 16) | 9CBD |
| Base 3 | 2001001010 |
| As time | 40125 seconds = 11 h 8 min 45 s |
Is 40125 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 | Yes (40125 ÷ 3 = 13375) | 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 (40125 ÷ 5 = 8025) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40125 a prime number?
No. 40125 = 3 × × 107, so it is divisible by 3.
What are the factors of 40125?
1, 3, 5, 15, 25, 75, 107, 125, 321, 375, 535, 1605, 2675, 8025, 13375, 40125.
What is 40125 in binary?
1001110010111101 (hexadecimal 9CBD, octal 116275).
What is the square root of 40125?
About 200.3123, exactly 5√1605.
Is 40125 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40125?
It is a composite number with 16 divisors.