The number 32214
32214 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 13 × 59. Divisors (32): 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 59, 78, 91, 118, 177 … 32214.
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How to work it out
- 1
32214 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32214 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 32214 itself that is 48426, so 32214 is abundant (48426 is more than 32214). Euler's totient φ(32214) = 8352 numbers up to 32214 share no factor with it.
- 4
The digits of 32214 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32214 = 2 \times 3 \times 7 \times 13 \times 59 \]
32214 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 8352 |
| Square | 1037741796 |
| Cube | 33429814216344 |
| Square root | 179.482590 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2214 × |
32214 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and fourteen |
| Binary (base 2) | 111110111010110 |
| Octal (base 8) | 76726 |
| Hexadecimal (base 16) | 7DD6 |
| Base 3 | 1122012010 |
| As time | 32214 seconds = 8 h 56 min 54 s |
Is 32214 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32214 ÷ 2 = 16107) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32214 ÷ 3 = 10738) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32214 ÷ 6 = 5369) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32214 ÷ 7 = 4602) | 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 6) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 32214 a prime number?
No. 32214 = 2 × 3 × 7 × 13 × 59, so it is divisible by 2.
What are the factors of 32214?
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 59, 78, 91, 118, 177, 182, 273, 354, 413, 546, 767, 826, 1239, 1534, 2301, 2478, 4602, 5369, 10738, 16107, 32214.
What is 32214 in binary?
111110111010110 (hexadecimal 7DD6, octal 76726).
What is the square root of 32214?
About 179.4826.
Is 32214 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32214?
It is a composite number with 32 divisors.