The number 46736
46736 is a composite number with 20 divisors. Its prime factorisation is × 23 × 127. Divisors (20): 1, 2, 4, 8, 16, 23, 46, 92, 127, 184, 254, 368, 508, 1016, 2032, 2921 … 46736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46736 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 46736 itself that is 48496, so 46736 is abundant (48496 is more than 46736). Euler's totient φ(46736) = 22176 numbers up to 46736 share no factor with it.
- 4
The digits of 46736 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46736 = 2^{4} \times 23 \times 127 \]46736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 22176 |
| Square | 2184253696 |
| Cube | 102083280736256 |
| Square root | 216.185106 (= 4√2921) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6736 × |
46736 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirty-six |
| Binary (base 2) | 1011011010010000 |
| Octal (base 8) | 133220 |
| Hexadecimal (base 16) | B690 |
| Base 3 | 2101002222 |
| As time | 46736 seconds = 12 h 58 min 56 s |
Is 46736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46736 ÷ 2 = 23368) | 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 (46736 ÷ 4 = 11684) | 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 | No (remainder 4) | 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 | Yes (46736 ÷ 8 = 5842) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 46736 a prime number?
No. 46736 = × 23 × 127, so it is divisible by 2.
What are the factors of 46736?
1, 2, 4, 8, 16, 23, 46, 92, 127, 184, 254, 368, 508, 1016, 2032, 2921, 5842, 11684, 23368, 46736.
What is 46736 in binary?
1011011010010000 (hexadecimal B690, octal 133220).
What is the square root of 46736?
About 216.1851, exactly 4√2921.
Is 46736 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46736?
It is a composite number with 20 divisors.