The number 46688
46688 is a composite number with 12 divisors. Its prime factorisation is × 1459. Divisors (12): 1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344, 46688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46688: a Harshad number: divisible by its digit sum 32.
- 2
46688 is composite. Its prime factorisation is
- 3
The divisors add up to 91980; without 46688 itself that is 45292, so 46688 is deficient (45292 is less than 46688). Euler's totient φ(46688) = 23328 numbers up to 46688 share no factor with it.
- 4
The digits of 46688 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46688 = 2^{5} \times 1459 \]46688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91980 |
| Euler totient φ(n) | 23328 |
| Square | 2179769344 |
| Cube | 101769071132672 |
| Square root | 216.074061 (= 4√2918) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6688 × |
46688 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-eight |
| Binary (base 2) | 1011011001100000 |
| Octal (base 8) | 133140 |
| Hexadecimal (base 16) | B660 |
| Base 3 | 2101001012 |
| As time | 46688 seconds = 12 h 58 min 8 s |
Is 46688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46688 ÷ 2 = 23344) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46688 ÷ 4 = 11672) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (46688 ÷ 8 = 5836) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46688 a prime number?
No. 46688 = × 1459, so it is divisible by 2.
What are the factors of 46688?
1, 2, 4, 8, 16, 32, 1459, 2918, 5836, 11672, 23344, 46688.
What is 46688 in binary?
1011011001100000 (hexadecimal B660, octal 133140).
What is the square root of 46688?
About 216.0741, exactly 4√2918.
Is 46688 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 46688?
46688 is a Harshad number: divisible by its digit sum 32.