The number 32466
32466 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 773. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 773, 1546, 2319, 4638, 5411, 10822, 16233, 32466.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32466: a Harshad number: divisible by its digit sum 21.
- 2
32466 is composite. Its prime factorisation is
- 3
The divisors add up to 74304; without 32466 itself that is 41838, so 32466 is abundant (41838 is more than 32466). Euler's totient φ(32466) = 9264 numbers up to 32466 share no factor with it.
- 4
The digits of 32466 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32466 = 2 \times 3 \times 7 \times 773 \]
32466 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74304 |
| Euler totient φ(n) | 9264 |
| Square | 1054041156 |
| Cube | 34220500170696 |
| Square root | 180.183240 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2466 × |
32466 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and sixty-six |
| Binary (base 2) | 111111011010010 |
| Octal (base 8) | 77322 |
| Hexadecimal (base 16) | 7ED2 |
| Base 3 | 1122112110 |
| As time | 32466 seconds = 9 h 1 min 6 s |
Is 32466 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32466 ÷ 2 = 16233) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32466 ÷ 3 = 10822) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (32466 ÷ 6 = 5411) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32466 ÷ 7 = 4638) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32466 a prime number?
No. 32466 = 2 × 3 × 7 × 773, so it is divisible by 2.
What are the factors of 32466?
1, 2, 3, 6, 7, 14, 21, 42, 773, 1546, 2319, 4638, 5411, 10822, 16233, 32466.
What is 32466 in binary?
111111011010010 (hexadecimal 7ED2, octal 77322).
What is the square root of 32466?
About 180.1832.
Is 32466 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32466?
32466 is a Harshad number: divisible by its digit sum 21.