The number 46772
46772 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1063. Divisors (12): 1, 2, 4, 11, 22, 44, 1063, 2126, 4252, 11693, 23386, 46772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46772 is composite. Its prime factorisation is
- 3
The divisors add up to 89376; without 46772 itself that is 42604, so 46772 is deficient (42604 is less than 46772). Euler's totient φ(46772) = 21240 numbers up to 46772 share no factor with it.
- 4
The digits of 46772 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46772 = 2^{2} \times 11 \times 1063 \]46772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89376 |
| Euler totient φ(n) | 21240 |
| Square | 2187619984 |
| Cube | 102319361891648 |
| Square root | 216.268352 (= 2√11693) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6772 × |
46772 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and seventy-two |
| Binary (base 2) | 1011011010110100 |
| Octal (base 8) | 133264 |
| Hexadecimal (base 16) | B6B4 |
| Base 3 | 2101011022 |
| As time | 46772 seconds = 12 h 59 min 32 s |
Is 46772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46772 ÷ 2 = 23386) | 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 (46772 ÷ 4 = 11693) | 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 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46772 ÷ 11 = 4252) | 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 46772 a prime number?
No. 46772 = × 11 × 1063, so it is divisible by 2.
What are the factors of 46772?
1, 2, 4, 11, 22, 44, 1063, 2126, 4252, 11693, 23386, 46772.
What is 46772 in binary?
1011011010110100 (hexadecimal B6B4, octal 133264).
What is the square root of 46772?
About 216.2684, exactly 2√11693.
Is 46772 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46772?
It is a composite number with 12 divisors.