The number 46764
46764 is a palindrome: it reads 46764 backwards too. Its prime factorisation is × × 433. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 433, 866, 1299, 1732 … 46764.
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How to work it out
- 1
What is special about 46764: a palindrome: it reads 46764 backwards too; a Harshad number: divisible by its digit sum 27.
- 2
46764 is composite. Its prime factorisation is
- 3
The divisors add up to 121520; without 46764 itself that is 74756, so 46764 is abundant (74756 is more than 46764). Euler's totient φ(46764) = 15552 numbers up to 46764 share no factor with it.
- 4
The digits of 46764 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46764 = 2^{2} \times 3^{3} \times 433 \]46764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121520 |
| Euler totient φ(n) | 15552 |
| Square | 2186871696 |
| Cube | 102266867991744 |
| Square root | 216.249855 (= 6√1299) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.6764 × |
46764 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty-four |
| Binary (base 2) | 1011011010101100 |
| Octal (base 8) | 133254 |
| Hexadecimal (base 16) | B6AC |
| Base 3 | 2101011000 |
| As time | 46764 seconds = 12 h 59 min 24 s |
Is 46764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46764 ÷ 2 = 23382) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46764 ÷ 3 = 15588) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46764 ÷ 4 = 11691) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46764 ÷ 6 = 7794) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46764 ÷ 9 = 5196) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (46764 ÷ 12 = 3897) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46764 a prime number?
No. 46764 = × × 433, so it is divisible by 2.
What are the factors of 46764?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 433, 866, 1299, 1732, 2598, 3897, 5196, 7794, 11691, 15588, 23382, 46764.
What is 46764 in binary?
1011011010101100 (hexadecimal B6AC, octal 133254).
What is the square root of 46764?
About 216.2499, exactly 6√1299.
Is 46764 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46764?
46764 is a palindrome: it reads 46764 backwards too; a Harshad number: divisible by its digit sum 27.