The number 46552
46552 is a composite number with 24 divisors. Its prime factorisation is × 11 × . Divisors (24): 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 529, 1012 … 46552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46552: a Harshad number: divisible by its digit sum 22.
- 2
46552 is composite. Its prime factorisation is
- 3
The divisors add up to 99540; without 46552 itself that is 52988, so 46552 is abundant (52988 is more than 46552). Euler's totient φ(46552) = 20240 numbers up to 46552 share no factor with it.
- 4
The digits of 46552 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46552 = 2^{3} \times 11 \times 23^{2} \]46552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99540 |
| Euler totient φ(n) | 20240 |
| Square | 2167088704 |
| Cube | 100882313348608 |
| Square root | 215.759125 (= 46√22) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6552 × |
46552 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and fifty-two |
| Binary (base 2) | 1011010111011000 |
| Octal (base 8) | 132730 |
| Hexadecimal (base 16) | B5D8 |
| Base 3 | 2100212011 |
| As time | 46552 seconds = 12 h 55 min 52 s |
Is 46552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46552 ÷ 2 = 23276) | 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 (46552 ÷ 4 = 11638) | 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 | No (remainder 2) | 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 (46552 ÷ 8 = 5819) | 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 | Yes (46552 ÷ 11 = 4232) | 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 46552 a prime number?
No. 46552 = × 11 × , so it is divisible by 2.
What are the factors of 46552?
1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 529, 1012, 1058, 2024, 2116, 4232, 5819, 11638, 23276, 46552.
What is 46552 in binary?
1011010111011000 (hexadecimal B5D8, octal 132730).
What is the square root of 46552?
About 215.7591, exactly 46√22.
Is 46552 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46552?
46552 is a Harshad number: divisible by its digit sum 22.