The number 46730
46730 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4673. Divisors (8): 1, 2, 5, 10, 4673, 9346, 23365, 46730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46730 is composite. Its prime factorisation is
- 3
The divisors add up to 84132; without 46730 itself that is 37402, so 46730 is deficient (37402 is less than 46730). Euler's totient φ(46730) = 18688 numbers up to 46730 share no factor with it.
- 4
The digits of 46730 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46730 = 2 \times 5 \times 4673 \]
46730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84132 |
| Euler totient φ(n) | 18688 |
| Square | 2183692900 |
| Cube | 102043969217000 |
| Square root | 216.171228 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.673 × |
46730 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirty |
| Binary (base 2) | 1011011010001010 |
| Octal (base 8) | 133212 |
| Hexadecimal (base 16) | B68A |
| Base 3 | 2101002202 |
| As time | 46730 seconds = 12 h 58 min 50 s |
Is 46730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46730 ÷ 2 = 23365) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46730 ÷ 5 = 9346) | 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 | No (remainder 2) | 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 | Yes (46730 ÷ 10 = 4673) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46730 a prime number?
No. 46730 = 2 × 5 × 4673, so it is divisible by 2.
What are the factors of 46730?
1, 2, 5, 10, 4673, 9346, 23365, 46730.
What is 46730 in binary?
1011011010001010 (hexadecimal B68A, octal 133212).
What is the square root of 46730?
About 216.1712.
Is 46730 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46730?
It is a composite number with 8 divisors.