The number 46875
46875 is a composite number with 14 divisors. Its prime factorisation is 3 × . Divisors (14): 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375, 15625, 46875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46875 is composite. Its prime factorisation is
- 3
The divisors add up to 78124; without 46875 itself that is 31249, so 46875 is deficient (31249 is less than 46875). Euler's totient φ(46875) = 25000 numbers up to 46875 share no factor with it.
- 4
The digits of 46875 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46875 = 3 \times 5^{6} \]46875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 78124 |
| Euler totient φ(n) | 25000 |
| Square | 2197265625 |
| Cube | 102996826171875 |
| Square root | 216.506351 (= 125√3) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.6875 × |
46875 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and seventy-five |
| Binary (base 2) | 1011011100011011 |
| Octal (base 8) | 133433 |
| Hexadecimal (base 16) | B71B |
| Base 3 | 2101022010 |
| As time | 46875 seconds = 13 h 1 min 15 s |
Is 46875 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 (46875 ÷ 3 = 15625) | 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 (46875 ÷ 5 = 9375) | 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 3) | 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 | 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 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 46875 a prime number?
No. 46875 = 3 × , so it is divisible by 3.
What are the factors of 46875?
1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375, 15625, 46875.
What is 46875 in binary?
1011011100011011 (hexadecimal B71B, octal 133433).
What is the square root of 46875?
About 216.5064, exactly 125√3.
Is 46875 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46875?
46875 is a happy number: repeatedly adding the squares of its digits reaches 1.