The number 46686
46686 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 31 × 251. Divisors (16): 1, 2, 3, 6, 31, 62, 93, 186, 251, 502, 753, 1506, 7781, 15562, 23343, 46686.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46686: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46686 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 46686 itself that is 50082, so 46686 is abundant (50082 is more than 46686). Euler's totient φ(46686) = 15000 numbers up to 46686 share no factor with it.
- 4
The digits of 46686 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46686 = 2 \times 3 \times 31 \times 251 \]
46686 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 15000 |
| Square | 2179582596 |
| Cube | 101755993076856 |
| Square root | 216.069433 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6686 × |
46686 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-six |
| Binary (base 2) | 1011011001011110 |
| Octal (base 8) | 133136 |
| Hexadecimal (base 16) | B65E |
| Base 3 | 2101001010 |
| As time | 46686 seconds = 12 h 58 min 6 s |
Is 46686 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46686 ÷ 2 = 23343) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46686 ÷ 3 = 15562) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46686 ÷ 6 = 7781) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46686 a prime number?
No. 46686 = 2 × 3 × 31 × 251, so it is divisible by 2.
What are the factors of 46686?
1, 2, 3, 6, 31, 62, 93, 186, 251, 502, 753, 1506, 7781, 15562, 23343, 46686.
What is 46686 in binary?
1011011001011110 (hexadecimal B65E, octal 133136).
What is the square root of 46686?
About 216.0694.
Is 46686 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46686?
46686 is a happy number: repeatedly adding the squares of its digits reaches 1.