The number 46788
46788 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 557. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 557, 1114, 1671, 2228 … 46788.
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How to work it out
- 1
46788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46788 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 46788 itself that is 78204, so 46788 is abundant (78204 is more than 46788). Euler's totient φ(46788) = 13344 numbers up to 46788 share no factor with it.
- 4
The digits of 46788 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46788 = 2^{2} \times 3 \times 7 \times 557 \]46788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 13344 |
| Square | 2189116944 |
| Cube | 102424403575872 |
| Square root | 216.305340 (= 2√11697) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6788 × |
46788 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and eighty-eight |
| Binary (base 2) | 1011011011000100 |
| Octal (base 8) | 133304 |
| Hexadecimal (base 16) | B6C4 |
| Base 3 | 2101011220 |
| As time | 46788 seconds = 12 h 59 min 48 s |
Is 46788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46788 ÷ 2 = 23394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46788 ÷ 3 = 15596) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46788 ÷ 4 = 11697) | 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 (46788 ÷ 6 = 7798) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46788 ÷ 7 = 6684) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46788 ÷ 12 = 3899) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46788 a prime number?
No. 46788 = × 3 × 7 × 557, so it is divisible by 2.
What are the factors of 46788?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 557, 1114, 1671, 2228, 3342, 3899, 6684, 7798, 11697, 15596, 23394, 46788.
What is 46788 in binary?
1011011011000100 (hexadecimal B6C4, octal 133304).
What is the square root of 46788?
About 216.3053, exactly 2√11697.
Is 46788 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46788?
It is a composite number with 24 divisors.