The number 46986
46986 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 41 × 191. Divisors (16): 1, 2, 3, 6, 41, 82, 123, 191, 246, 382, 573, 1146, 7831, 15662, 23493, 46986.
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How to work it out
- 1
46986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46986 is composite. Its prime factorisation is
- 3
The divisors add up to 96768; without 46986 itself that is 49782, so 46986 is abundant (49782 is more than 46986). Euler's totient φ(46986) = 15200 numbers up to 46986 share no factor with it.
- 4
The digits of 46986 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46986 = 2 \times 3 \times 41 \times 191 \]
46986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96768 |
| Euler totient φ(n) | 15200 |
| Square | 2207684196 |
| Cube | 103730249633256 |
| Square root | 216.762543 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.6986 × |
46986 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and eighty-six |
| Binary (base 2) | 1011011110001010 |
| Octal (base 8) | 133612 |
| Hexadecimal (base 16) | B78A |
| Base 3 | 2101110020 |
| As time | 46986 seconds = 13 h 3 min 6 s |
Is 46986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46986 ÷ 2 = 23493) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46986 ÷ 3 = 15662) | 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 (46986 ÷ 6 = 7831) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 6) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46986 a prime number?
No. 46986 = 2 × 3 × 41 × 191, so it is divisible by 2.
What are the factors of 46986?
1, 2, 3, 6, 41, 82, 123, 191, 246, 382, 573, 1146, 7831, 15662, 23493, 46986.
What is 46986 in binary?
1011011110001010 (hexadecimal B78A, octal 133612).
What is the square root of 46986?
About 216.7625.
Is 46986 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46986?
It is a composite number with 16 divisors.