The number 42375
42375 is a composite number with 16 divisors. Its prime factorisation is 3 × × 113. Divisors (16): 1, 3, 5, 15, 25, 75, 113, 125, 339, 375, 565, 1695, 2825, 8475, 14125, 42375.
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How to work it out
- 1
What is special about 42375: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42375 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 42375 itself that is 28761, so 42375 is deficient (28761 is less than 42375). Euler's totient φ(42375) = 22400 numbers up to 42375 share no factor with it.
- 4
The digits of 42375 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42375 = 3 \times 5^{3} \times 113 \]42375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 22400 |
| Square | 1795640625 |
| Cube | 76090271484375 |
| Square root | 205.851889 (= 5√1695) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2375 × |
42375 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-five |
| Binary (base 2) | 1010010110000111 |
| Octal (base 8) | 122607 |
| Hexadecimal (base 16) | A587 |
| Base 3 | 2011010110 |
| As time | 42375 seconds = 11 h 46 min 15 s |
Is 42375 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 (42375 ÷ 3 = 14125) | 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 (42375 ÷ 5 = 8475) | 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 7) | 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 3) | 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 42375 a prime number?
No. 42375 = 3 × × 113, so it is divisible by 3.
What are the factors of 42375?
1, 3, 5, 15, 25, 75, 113, 125, 339, 375, 565, 1695, 2825, 8475, 14125, 42375.
What is 42375 in binary?
1010010110000111 (hexadecimal A587, octal 122607).
What is the square root of 42375?
About 205.8519, exactly 5√1695.
Is 42375 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42375?
42375 is a happy number: repeatedly adding the squares of its digits reaches 1.