The number 46683
46683 is a taxicab number: it is the sum of two cubes in 2 ways (3³ + 36³ and 27³ + 30³). Its prime factorisation is × 7 × 13 × 19. Divisors (32): 1, 3, 7, 9, 13, 19, 21, 27, 39, 57, 63, 91, 117, 133, 171, 189 … 46683.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46683: a taxicab number: it is the sum of two cubes in 2 ways (3³ + 36³ and 27³ + 30³); a Harshad number: divisible by its digit sum 27.
- 2
46683 is composite. Its prime factorisation is
- 3
The divisors add up to 89600; without 46683 itself that is 42917, so 46683 is deficient (42917 is less than 46683). Euler's totient φ(46683) = 23328 numbers up to 46683 share no factor with it.
- 4
The digits of 46683 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 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46683 = 3^{3} \times 7 \times 13 \times 19 \]46683 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 89600 |
| Euler totient φ(n) | 23328 |
| Square | 2179302489 |
| Cube | 101736378093987 |
| Square root | 216.062491 (= 3√5187) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.6683 × |
46683 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-three |
| Binary (base 2) | 1011011001011011 |
| Octal (base 8) | 133133 |
| Hexadecimal (base 16) | B65B |
| Base 3 | 2101001000 |
| As time | 46683 seconds = 12 h 58 min 3 s |
Is 46683 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 (46683 ÷ 3 = 15561) | 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 3) | 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 (46683 ÷ 7 = 6669) | 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 | Yes (46683 ÷ 9 = 5187) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 46683 a prime number?
No. 46683 = × 7 × 13 × 19, so it is divisible by 3.
What are the factors of 46683?
1, 3, 7, 9, 13, 19, 21, 27, 39, 57, 63, 91, 117, 133, 171, 189, 247, 273, 351, 399, 513, 741, 819, 1197, 1729, 2223, 2457, 3591, 5187, 6669, 15561, 46683.
What is 46683 in binary?
1011011001011011 (hexadecimal B65B, octal 133133).
What is the square root of 46683?
About 216.0625, exactly 3√5187.
Is 46683 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46683?
46683 is a taxicab number: it is the sum of two cubes in 2 ways (3³ + 36³ and 27³ + 30³); a Harshad number: divisible by its digit sum 27.