The number 46676
46676 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1667. Divisors (12): 1, 2, 4, 7, 14, 28, 1667, 3334, 6668, 11669, 23338, 46676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46676 is composite. Its prime factorisation is
- 3
The divisors add up to 93408; without 46676 itself that is 46732, so 46676 is abundant (46732 is more than 46676). Euler's totient φ(46676) = 19992 numbers up to 46676 share no factor with it.
- 4
The digits of 46676 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46676 = 2^{2} \times 7 \times 1667 \]46676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93408 |
| Euler totient φ(n) | 19992 |
| Square | 2178648976 |
| Cube | 101690619603776 |
| Square root | 216.046291 (= 2√11669) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6676 × |
46676 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and seventy-six |
| Binary (base 2) | 1011011001010100 |
| Octal (base 8) | 133124 |
| Hexadecimal (base 16) | B654 |
| Base 3 | 2101000202 |
| As time | 46676 seconds = 12 h 57 min 56 s |
Is 46676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46676 ÷ 2 = 23338) | 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 (46676 ÷ 4 = 11669) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46676 ÷ 7 = 6668) | 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 2) | 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 3) | 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 46676 a prime number?
No. 46676 = × 7 × 1667, so it is divisible by 2.
What are the factors of 46676?
1, 2, 4, 7, 14, 28, 1667, 3334, 6668, 11669, 23338, 46676.
What is 46676 in binary?
1011011001010100 (hexadecimal B654, octal 133124).
What is the square root of 46676?
About 216.0463, exactly 2√11669.
Is 46676 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46676?
It is a composite number with 12 divisors.