The number 46746
46746 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 53. Divisors (36): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 98, 106, 126 … 46746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46746 is composite. Its prime factorisation is
- 3
The divisors add up to 120042; without 46746 itself that is 73296, so 46746 is abundant (73296 is more than 46746). Euler's totient φ(46746) = 13104 numbers up to 46746 share no factor with it.
- 4
The digits of 46746 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46746 = 2 \times 3^{2} \times 7^{2} \times 53 \]46746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 120042 |
| Euler totient φ(n) | 13104 |
| Square | 2185188516 |
| Cube | 102148822368936 |
| Square root | 216.208233 (= 21√106) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6746 × |
46746 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and forty-six |
| Binary (base 2) | 1011011010011010 |
| Octal (base 8) | 133232 |
| Hexadecimal (base 16) | B69A |
| Base 3 | 2101010100 |
| As time | 46746 seconds = 12 h 59 min 6 s |
Is 46746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46746 ÷ 2 = 23373) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46746 ÷ 3 = 15582) | 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 (46746 ÷ 6 = 7791) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46746 ÷ 7 = 6678) | 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 | Yes (46746 ÷ 9 = 5194) | 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 7) | 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 46746 a prime number?
No. 46746 = 2 × × × 53, so it is divisible by 2.
What are the factors of 46746?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 98, 106, 126, 147, 159, 294, 318, 371, 441, 477, 742, 882, 954, 1113, 2226, 2597, 3339, 5194, 6678, 7791, 15582, 23373, 46746.
What is 46746 in binary?
1011011010011010 (hexadecimal B69A, octal 133232).
What is the square root of 46746?
About 216.2082, exactly 21√106.
Is 46746 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46746?
It is a composite number with 36 divisors.