The number 40975
40975 is a composite number with 12 divisors. Its prime factorisation is × 11 × 149. Divisors (12): 1, 5, 11, 25, 55, 149, 275, 745, 1639, 3725, 8195, 40975.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40975: a Harshad number: divisible by its digit sum 25.
- 2
40975 is composite. Its prime factorisation is
- 3
The divisors add up to 55800; without 40975 itself that is 14825, so 40975 is deficient (14825 is less than 40975). Euler's totient φ(40975) = 29600 numbers up to 40975 share no factor with it.
- 4
The digits of 40975 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40975 = 5^{2} \times 11 \times 149 \]40975 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55800 |
| Euler totient φ(n) | 29600 |
| Square | 1678950625 |
| Cube | 68795001859375 |
| Square root | 202.422825 (= 5√1639) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0975 × |
40975 in other forms
| Form | Value |
|---|---|
| In words | forty thousand nine hundred and seventy-five |
| Binary (base 2) | 1010000000001111 |
| Octal (base 8) | 120017 |
| Hexadecimal (base 16) | A00F |
| Base 3 | 2002012121 |
| As time | 40975 seconds = 11 h 22 min 55 s |
Is 40975 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 1) | 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 (40975 ÷ 5 = 8195) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 (40975 ÷ 11 = 3725) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40975 a prime number?
No. 40975 = × 11 × 149, so it is divisible by 5.
What are the factors of 40975?
1, 5, 11, 25, 55, 149, 275, 745, 1639, 3725, 8195, 40975.
What is 40975 in binary?
1010000000001111 (hexadecimal A00F, octal 120017).
What is the square root of 40975?
About 202.4228, exactly 5√1639.
Is 40975 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 40975?
40975 is a Harshad number: divisible by its digit sum 25.