The number 46125
46125 is a binary palindrome (1011010000101101). Its prime factorisation is × × 41. Divisors (24): 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 125, 205, 225, 369, 375, 615 … 46125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46125: a binary palindrome (1011010000101101); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46125 is composite. Its prime factorisation is
- 3
The divisors add up to 85176; without 46125 itself that is 39051, so 46125 is deficient (39051 is less than 46125). Euler's totient φ(46125) = 24000 numbers up to 46125 share no factor with it.
- 4
The digits of 46125 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46125 = 3^{2} \times 5^{3} \times 41 \]46125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 85176 |
| Euler totient φ(n) | 24000 |
| Square | 2127515625 |
| Cube | 98131658203125 |
| Square root | 214.767316 (= 15√205) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6125 × |
46125 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and twenty-five |
| Binary (base 2) | 1011010000101101 |
| Octal (base 8) | 132055 |
| Hexadecimal (base 16) | B42D |
| Base 3 | 2100021100 |
| As time | 46125 seconds = 12 h 48 min 45 s |
Is 46125 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 (46125 ÷ 3 = 15375) | 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 (46125 ÷ 5 = 9225) | 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 | Yes (46125 ÷ 9 = 5125) | 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 2) | 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 46125 a prime number?
No. 46125 = × × 41, so it is divisible by 3.
What are the factors of 46125?
1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 125, 205, 225, 369, 375, 615, 1025, 1125, 1845, 3075, 5125, 9225, 15375, 46125.
What is 46125 in binary?
1011010000101101 (hexadecimal B42D, octal 132055).
What is the square root of 46125?
About 214.7673, exactly 15√205.
Is 46125 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46125?
46125 is a binary palindrome (1011010000101101); a happy number: repeatedly adding the squares of its digits reaches 1.