The number 46732
46732 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1669. Divisors (12): 1, 2, 4, 7, 14, 28, 1669, 3338, 6676, 11683, 23366, 46732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46732 is composite. Its prime factorisation is
- 3
The divisors add up to 93520; without 46732 itself that is 46788, so 46732 is abundant (46788 is more than 46732). Euler's totient φ(46732) = 20016 numbers up to 46732 share no factor with it.
- 4
The digits of 46732 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46732 = 2^{2} \times 7 \times 1669 \]46732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93520 |
| Euler totient φ(n) | 20016 |
| Square | 2183879824 |
| Cube | 102057071935168 |
| Square root | 216.175854 (= 2√11683) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6732 × |
46732 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirty-two |
| Binary (base 2) | 1011011010001100 |
| Octal (base 8) | 133214 |
| Hexadecimal (base 16) | B68C |
| Base 3 | 2101002211 |
| As time | 46732 seconds = 12 h 58 min 52 s |
Is 46732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46732 ÷ 2 = 23366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46732 ÷ 4 = 11683) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46732 ÷ 7 = 6676) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46732 a prime number?
No. 46732 = × 7 × 1669, so it is divisible by 2.
What are the factors of 46732?
1, 2, 4, 7, 14, 28, 1669, 3338, 6676, 11683, 23366, 46732.
What is 46732 in binary?
1011011010001100 (hexadecimal B68C, octal 133214).
What is the square root of 46732?
About 216.1759, exactly 2√11683.
Is 46732 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46732?
It is a composite number with 12 divisors.