The number 32494
32494 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 211. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 211, 422, 1477, 2321, 2954, 4642, 16247, 32494.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32494: a Harshad number: divisible by its digit sum 22.
- 2
32494 is composite. Its prime factorisation is
- 3
The divisors add up to 61056; without 32494 itself that is 28562, so 32494 is deficient (28562 is less than 32494). Euler's totient φ(32494) = 12600 numbers up to 32494 share no factor with it.
- 4
The digits of 32494 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32494 = 2 \times 7 \times 11 \times 211 \]
32494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61056 |
| Euler totient φ(n) | 12600 |
| Square | 1055860036 |
| Cube | 34309116009784 |
| Square root | 180.260922 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.2494 × |
32494 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and ninety-four |
| Binary (base 2) | 111111011101110 |
| Octal (base 8) | 77356 |
| Hexadecimal (base 16) | 7EEE |
| Base 3 | 1122120111 |
| As time | 32494 seconds = 9 h 1 min 34 s |
Is 32494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32494 ÷ 2 = 16247) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32494 ÷ 7 = 4642) | 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 4) | 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 | Yes (32494 ÷ 11 = 2954) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32494 a prime number?
No. 32494 = 2 × 7 × 11 × 211, so it is divisible by 2.
What are the factors of 32494?
1, 2, 7, 11, 14, 22, 77, 154, 211, 422, 1477, 2321, 2954, 4642, 16247, 32494.
What is 32494 in binary?
111111011101110 (hexadecimal 7EEE, octal 77356).
What is the square root of 32494?
About 180.2609.
Is 32494 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32494?
32494 is a Harshad number: divisible by its digit sum 22.