The number 32144
32144 is a composite number with 30 divisors. Its prime factorisation is × × 41. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 41, 49, 56, 82, 98, 112, 164, 196 … 32144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32144: a Harshad number: divisible by its digit sum 14.
- 2
32144 is composite. Its prime factorisation is
- 3
The divisors add up to 74214; without 32144 itself that is 42070, so 32144 is abundant (42070 is more than 32144). Euler's totient φ(32144) = 13440 numbers up to 32144 share no factor with it.
- 4
The digits of 32144 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32144 = 2^{4} \times 7^{2} \times 41 \]32144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 74214 |
| Euler totient φ(n) | 13440 |
| Square | 1033236736 |
| Cube | 33212361641984 |
| Square root | 179.287479 (= 28√41) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.2144 × |
32144 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and forty-four |
| Binary (base 2) | 111110110010000 |
| Octal (base 8) | 76620 |
| Hexadecimal (base 16) | 7D90 |
| Base 3 | 1122002112 |
| As time | 32144 seconds = 8 h 55 min 44 s |
Is 32144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32144 ÷ 2 = 16072) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32144 ÷ 4 = 8036) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32144 ÷ 7 = 4592) | 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 (32144 ÷ 8 = 4018) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32144 a prime number?
No. 32144 = × × 41, so it is divisible by 2.
What are the factors of 32144?
1, 2, 4, 7, 8, 14, 16, 28, 41, 49, 56, 82, 98, 112, 164, 196, 287, 328, 392, 574, 656, 784, 1148, 2009, 2296, 4018, 4592, 8036, 16072, 32144.
What is 32144 in binary?
111110110010000 (hexadecimal 7D90, octal 76620).
What is the square root of 32144?
About 179.2875, exactly 28√41.
Is 32144 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32144?
32144 is a Harshad number: divisible by its digit sum 14.