The number 32421
32421 is a composite number with 8 divisors. Its prime factorisation is 3 × 101 × 107. Divisors (8): 1, 3, 101, 107, 303, 321, 10807, 32421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32421 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32421 is composite. Its prime factorisation is
- 3
The divisors add up to 44064; without 32421 itself that is 11643, so 32421 is deficient (11643 is less than 32421). Euler's totient φ(32421) = 21200 numbers up to 32421 share no factor with it.
- 4
The digits of 32421 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32421 = 3 \times 101 \times 107 \]
32421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44064 |
| Euler totient φ(n) | 21200 |
| Square | 1051121241 |
| Cube | 34078401754461 |
| Square root | 180.058324 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2421 × |
32421 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and twenty-one |
| Binary (base 2) | 111111010100101 |
| Octal (base 8) | 77245 |
| Hexadecimal (base 16) | 7EA5 |
| Base 3 | 1122110210 |
| As time | 32421 seconds = 9 h 0 min 21 s |
Is 32421 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32421 ÷ 3 = 10807) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32421 a prime number?
No. 32421 = 3 × 101 × 107, so it is divisible by 3.
What are the factors of 32421?
1, 3, 101, 107, 303, 321, 10807, 32421.
What is 32421 in binary?
111111010100101 (hexadecimal 7EA5, octal 77245).
What is the square root of 32421?
About 180.0583.
Is 32421 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32421?
It is a composite number with 8 divisors.