The number 4125
4125 is a composite number with 16 divisors. Its prime factorisation is 3 × × 11. Divisors (16): 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4125 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 4125 itself that is 3363, so 4125 is deficient (3363 is less than 4125). Euler's totient φ(4125) = 2000 numbers up to 4125 share no factor with it.
- 4
The digits of 4125 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4125 = 3 \times 5^{3} \times 11 \]4125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 2000 |
| Square | 17015625 |
| Cube | 70189453125 |
| Square root | 64.226163 (= 5√165) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 4.125 × |
4125 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and twenty-five |
| Binary (base 2) | 1000000011101 |
| Octal (base 8) | 10035 |
| Hexadecimal (base 16) | 101D |
| Base 3 | 12122210 |
| As time | 4125 seconds = 1 h 8 min 45 s |
Is 4125 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 (4125 ÷ 3 = 1375) | 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 (4125 ÷ 5 = 825) | 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 2) | 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 5) | 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 | Yes (4125 ÷ 11 = 375) | 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 4125 a prime number?
No. 4125 = 3 × × 11, so it is divisible by 3.
What are the factors of 4125?
1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125.
What is 4125 in binary?
1000000011101 (hexadecimal 101D, octal 10035).
What is the square root of 4125?
About 64.2262, exactly 5√165.
Is 4125 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4125?
It is a composite number with 16 divisors.