The number 46011
46011 is a composite number with 12 divisors. Its prime factorisation is 3 × × 313. Divisors (12): 1, 3, 7, 21, 49, 147, 313, 939, 2191, 6573, 15337, 46011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46011 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46011 is composite. Its prime factorisation is
- 3
The divisors add up to 71592; without 46011 itself that is 25581, so 46011 is deficient (25581 is less than 46011). Euler's totient φ(46011) = 26208 numbers up to 46011 share no factor with it.
- 4
The digits of 46011 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46011 = 3 \times 7^{2} \times 313 \]46011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71592 |
| Euler totient φ(n) | 26208 |
| Square | 2117012121 |
| Cube | 97405844699331 |
| Square root | 214.501748 (= 7√939) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.6011 × |
46011 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and eleven |
| Binary (base 2) | 1011001110111011 |
| Octal (base 8) | 131673 |
| Hexadecimal (base 16) | B3BB |
| Base 3 | 2100010010 |
| As time | 46011 seconds = 12 h 46 min 51 s |
Is 46011 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 (46011 ÷ 3 = 15337) | 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 | No (remainder 1) | 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 | Yes (46011 ÷ 7 = 6573) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 46011 a prime number?
No. 46011 = 3 × × 313, so it is divisible by 3.
What are the factors of 46011?
1, 3, 7, 21, 49, 147, 313, 939, 2191, 6573, 15337, 46011.
What is 46011 in binary?
1011001110111011 (hexadecimal B3BB, octal 131673).
What is the square root of 46011?
About 214.5017, exactly 7√939.
Is 46011 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 46011?
It is a composite number with 12 divisors.