The number 46025
46025 is a composite number with 12 divisors. Its prime factorisation is × 7 × 263. Divisors (12): 1, 5, 7, 25, 35, 175, 263, 1315, 1841, 6575, 9205, 46025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46025 is composite. Its prime factorisation is
- 3
The divisors add up to 65472; without 46025 itself that is 19447, so 46025 is deficient (19447 is less than 46025). Euler's totient φ(46025) = 31440 numbers up to 46025 share no factor with it.
- 4
The digits of 46025 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46025 = 5^{2} \times 7 \times 263 \]46025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65472 |
| Euler totient φ(n) | 31440 |
| Square | 2118300625 |
| Cube | 97494786265625 |
| Square root | 214.534380 (= 5√1841) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.6025 × |
46025 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and twenty-five |
| Binary (base 2) | 1011001111001001 |
| Octal (base 8) | 131711 |
| Hexadecimal (base 16) | B3C9 |
| Base 3 | 2100010122 |
| As time | 46025 seconds = 12 h 47 min 5 s |
Is 46025 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 2) | 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 (46025 ÷ 5 = 9205) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46025 ÷ 7 = 6575) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46025 a prime number?
No. 46025 = × 7 × 263, so it is divisible by 5.
What are the factors of 46025?
1, 5, 7, 25, 35, 175, 263, 1315, 1841, 6575, 9205, 46025.
What is 46025 in binary?
1011001111001001 (hexadecimal B3C9, octal 131711).
What is the square root of 46025?
About 214.5344, exactly 5√1841.
Is 46025 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46025?
It is a composite number with 12 divisors.