The number 46728
46728 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 59. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 59 … 46728.
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How to work it out
- 1
46728 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46728 is composite. Its prime factorisation is
- 3
The divisors add up to 140400; without 46728 itself that is 93672, so 46728 is abundant (93672 is more than 46728). Euler's totient φ(46728) = 13920 numbers up to 46728 share no factor with it.
- 4
The digits of 46728 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46728 = 2^{3} \times 3^{2} \times 11 \times 59 \]46728 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 140400 |
| Euler totient φ(n) | 13920 |
| Square | 2183505984 |
| Cube | 102030867620352 |
| Square root | 216.166602 (= 6√1298) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6728 × |
46728 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and twenty-eight |
| Binary (base 2) | 1011011010001000 |
| Octal (base 8) | 133210 |
| Hexadecimal (base 16) | B688 |
| Base 3 | 2101002200 |
| As time | 46728 seconds = 12 h 58 min 48 s |
Is 46728 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46728 ÷ 2 = 23364) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46728 ÷ 3 = 15576) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46728 ÷ 4 = 11682) | 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 | Yes (46728 ÷ 6 = 7788) | 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 | Yes (46728 ÷ 8 = 5841) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46728 ÷ 9 = 5192) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46728 ÷ 11 = 4248) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46728 ÷ 12 = 3894) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46728 a prime number?
No. 46728 = × × 11 × 59, so it is divisible by 2.
What are the factors of 46728?
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 59, 66, 72, 88, 99, 118, 132, 177, 198, 236, 264, 354, 396, 472, 531, 649, 708, 792, 1062, 1298, 1416, 1947, 2124, 2596, 3894, 4248, 5192, 5841, 7788, 11682, 15576, 23364, 46728.
What is 46728 in binary?
1011011010001000 (hexadecimal B688, octal 133210).
What is the square root of 46728?
About 216.1666, exactly 6√1298.
Is 46728 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46728?
It is a composite number with 48 divisors.