The number 46332
46332 is a composite number with 60 divisors. Its prime factorisation is × × 11 × 13. Divisors (60): 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39 … 46332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46332: a Harshad number: divisible by its digit sum 18.
- 2
46332 is composite. Its prime factorisation is
- 3
The divisors add up to 142296; without 46332 itself that is 95964, so 46332 is abundant (95964 is more than 46332). Euler's totient φ(46332) = 12960 numbers up to 46332 share no factor with it.
- 4
The digits of 46332 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46332 = 2^{2} \times 3^{4} \times 11 \times 13 \]46332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 142296 |
| Euler totient φ(n) | 12960 |
| Square | 2146654224 |
| Cube | 99458783506368 |
| Square root | 215.248693 (= 18√143) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6332 × |
46332 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and thirty-two |
| Binary (base 2) | 1011010011111100 |
| Octal (base 8) | 132374 |
| Hexadecimal (base 16) | B4FC |
| Base 3 | 2100120000 |
| As time | 46332 seconds = 12 h 52 min 12 s |
Is 46332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46332 ÷ 2 = 23166) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46332 ÷ 3 = 15444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46332 ÷ 4 = 11583) | 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 | Yes (46332 ÷ 6 = 7722) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (46332 ÷ 9 = 5148) | 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 (46332 ÷ 11 = 4212) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46332 ÷ 12 = 3861) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46332 a prime number?
No. 46332 = × × 11 × 13, so it is divisible by 2.
What are the factors of 46332?
1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39, 44, 52, 54, 66, 78, 81, 99, 108, 117, 132, 143, 156, 162, 198, 234, 286, 297, 324, 351, 396, 429, 468, 572, 594, 702, 858, 891, 1053, 1188, 1287, 1404, 1716, 1782, 2106, 2574, 3564, 3861, 4212, 5148, 7722, 11583, 15444, 23166, 46332.
What is 46332 in binary?
1011010011111100 (hexadecimal B4FC, octal 132374).
What is the square root of 46332?
About 215.2487, exactly 18√143.
Is 46332 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46332?
46332 is a Harshad number: divisible by its digit sum 18.