The number 46791
46791 is a composite number with 8 divisors. Its prime factorisation is × 1733. Divisors (8): 1, 3, 9, 27, 1733, 5199, 15597, 46791.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46791: a Harshad number: divisible by its digit sum 27.
- 2
46791 is composite. Its prime factorisation is
- 3
The divisors add up to 69360; without 46791 itself that is 22569, so 46791 is deficient (22569 is less than 46791). Euler's totient φ(46791) = 31176 numbers up to 46791 share no factor with it.
- 4
The digits of 46791 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46791 = 3^{3} \times 1733 \]46791 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69360 |
| Euler totient φ(n) | 31176 |
| Square | 2189397681 |
| Cube | 102444106891671 |
| Square root | 216.312274 (= 3√5199) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6791 × |
46791 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and ninety-one |
| Binary (base 2) | 1011011011000111 |
| Octal (base 8) | 133307 |
| Hexadecimal (base 16) | B6C7 |
| Base 3 | 2101012000 |
| As time | 46791 seconds = 12 h 59 min 51 s |
Is 46791 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 (46791 ÷ 3 = 15597) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46791 ÷ 9 = 5199) | 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 8) | 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 46791 a prime number?
No. 46791 = × 1733, so it is divisible by 3.
What are the factors of 46791?
1, 3, 9, 27, 1733, 5199, 15597, 46791.
What is 46791 in binary?
1011011011000111 (hexadecimal B6C7, octal 133307).
What is the square root of 46791?
About 216.3123, exactly 3√5199.
Is 46791 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46791?
46791 is a Harshad number: divisible by its digit sum 27.