The number 40425
40425 is a composite number with 36 divisors. Its prime factorisation is 3 × × × 11. Divisors (36): 1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 49, 55, 75, 77, 105, 147 … 40425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40425: a Harshad number: divisible by its digit sum 15.
- 2
40425 is composite. Its prime factorisation is
- 3
The divisors add up to 84816; without 40425 itself that is 44391, so 40425 is abundant (44391 is more than 40425). Euler's totient φ(40425) = 16800 numbers up to 40425 share no factor with it.
- 4
The digits of 40425 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40425 = 3 \times 5^{2} \times 7^{2} \times 11 \]40425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 84816 |
| Euler totient φ(n) | 16800 |
| Square | 1634180625 |
| Cube | 66061751765625 |
| Square root | 201.059693 (= 35√33) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0425 × |
40425 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and twenty-five |
| Binary (base 2) | 1001110111101001 |
| Octal (base 8) | 116751 |
| Hexadecimal (base 16) | 9DE9 |
| Base 3 | 2001110020 |
| As time | 40425 seconds = 11 h 13 min 45 s |
Is 40425 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 (40425 ÷ 3 = 13475) | 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 (40425 ÷ 5 = 8085) | 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 | Yes (40425 ÷ 7 = 5775) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40425 ÷ 11 = 3675) | 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 40425 a prime number?
No. 40425 = 3 × × × 11, so it is divisible by 3.
What are the factors of 40425?
1, 3, 5, 7, 11, 15, 21, 25, 33, 35, 49, 55, 75, 77, 105, 147, 165, 175, 231, 245, 275, 385, 525, 539, 735, 825, 1155, 1225, 1617, 1925, 2695, 3675, 5775, 8085, 13475, 40425.
What is 40425 in binary?
1001110111101001 (hexadecimal 9DE9, octal 116751).
What is the square root of 40425?
About 201.0597, exactly 35√33.
Is 40425 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40425?
40425 is a Harshad number: divisible by its digit sum 15.