The number 46768
46768 is a composite number with 20 divisors. Its prime factorisation is × 37 × 79. Divisors (20): 1, 2, 4, 8, 16, 37, 74, 79, 148, 158, 296, 316, 592, 632, 1264, 2923 … 46768.
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How to work it out
- 1
46768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46768 is composite. Its prime factorisation is
- 3
The divisors add up to 94240; without 46768 itself that is 47472, so 46768 is abundant (47472 is more than 46768). Euler's totient φ(46768) = 22464 numbers up to 46768 share no factor with it.
- 4
The digits of 46768 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46768 = 2^{4} \times 37 \times 79 \]46768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 94240 |
| Euler totient φ(n) | 22464 |
| Square | 2187245824 |
| Cube | 102293112696832 |
| Square root | 216.259104 (= 4√2923) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6768 × |
46768 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty-eight |
| Binary (base 2) | 1011011010110000 |
| Octal (base 8) | 133260 |
| Hexadecimal (base 16) | B6B0 |
| Base 3 | 2101011011 |
| As time | 46768 seconds = 12 h 59 min 28 s |
Is 46768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46768 ÷ 2 = 23384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46768 ÷ 4 = 11692) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (46768 ÷ 8 = 5846) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46768 a prime number?
No. 46768 = × 37 × 79, so it is divisible by 2.
What are the factors of 46768?
1, 2, 4, 8, 16, 37, 74, 79, 148, 158, 296, 316, 592, 632, 1264, 2923, 5846, 11692, 23384, 46768.
What is 46768 in binary?
1011011010110000 (hexadecimal B6B0, octal 133260).
What is the square root of 46768?
About 216.2591, exactly 4√2923.
Is 46768 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46768?
It is a composite number with 20 divisors.