The number 46809
46809 is a composite number with 12 divisors. Its prime factorisation is × 7 × 743. Divisors (12): 1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603, 46809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46809 is composite. Its prime factorisation is
- 3
The divisors add up to 77376; without 46809 itself that is 30567, so 46809 is deficient (30567 is less than 46809). Euler's totient φ(46809) = 26712 numbers up to 46809 share no factor with it.
- 4
The digits of 46809 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
\[ 46809 = 3^{2} \times 7 \times 743 \]46809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77376 |
| Euler totient φ(n) | 26712 |
| Square | 2191082481 |
| Cube | 102562379853129 |
| Square root | 216.353877 (= 3√5201) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6809 × |
46809 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and nine |
| Binary (base 2) | 1011011011011001 |
| Octal (base 8) | 133331 |
| Hexadecimal (base 16) | B6D9 |
| Base 3 | 2101012200 |
| As time | 46809 seconds = 13 h 0 min 9 s |
Is 46809 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 (46809 ÷ 3 = 15603) | 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 | No (remainder 4) | 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 (46809 ÷ 7 = 6687) | 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 | Yes (46809 ÷ 9 = 5201) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 46809 a prime number?
No. 46809 = × 7 × 743, so it is divisible by 3.
What are the factors of 46809?
1, 3, 7, 9, 21, 63, 743, 2229, 5201, 6687, 15603, 46809.
What is 46809 in binary?
1011011011011001 (hexadecimal B6D9, octal 133331).
What is the square root of 46809?
About 216.3539, exactly 3√5201.
Is 46809 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46809?
It is a composite number with 12 divisors.