The number 40275
40275 is a composite number with 18 divisors. Its prime factorisation is × × 179. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 179, 225, 537, 895, 1611, 2685, 4475, 8055 … 40275.
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How to work it out
- 1
What is special about 40275: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40275 is composite. Its prime factorisation is
- 3
The divisors add up to 72540; without 40275 itself that is 32265, so 40275 is deficient (32265 is less than 40275). Euler's totient φ(40275) = 21360 numbers up to 40275 share no factor with it.
- 4
The digits of 40275 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40275 = 3^{2} \times 5^{2} \times 179 \]40275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 72540 |
| Euler totient φ(n) | 21360 |
| Square | 1622075625 |
| Cube | 65329095796875 |
| Square root | 200.686322 (= 15√179) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.0275 × |
40275 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and seventy-five |
| Binary (base 2) | 1001110101010011 |
| Octal (base 8) | 116523 |
| Hexadecimal (base 16) | 9D53 |
| Base 3 | 2001020200 |
| As time | 40275 seconds = 11 h 11 min 15 s |
Is 40275 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 (40275 ÷ 3 = 13425) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40275 ÷ 5 = 8055) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40275 ÷ 9 = 4475) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40275 a prime number?
No. 40275 = × × 179, so it is divisible by 3.
What are the factors of 40275?
1, 3, 5, 9, 15, 25, 45, 75, 179, 225, 537, 895, 1611, 2685, 4475, 8055, 13425, 40275.
What is 40275 in binary?
1001110101010011 (hexadecimal 9D53, octal 116523).
What is the square root of 40275?
About 200.6863, exactly 15√179.
Is 40275 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40275?
40275 is a happy number: repeatedly adding the squares of its digits reaches 1.