The number 32390
32390 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 41 × 79. Divisors (16): 1, 2, 5, 10, 41, 79, 82, 158, 205, 395, 410, 790, 3239, 6478, 16195, 32390.
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How to work it out
- 1
What is special about 32390: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32390 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 32390 itself that is 28090, so 32390 is deficient (28090 is less than 32390). Euler's totient φ(32390) = 12480 numbers up to 32390 share no factor with it.
- 4
The digits of 32390 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32390 = 2 \times 5 \times 41 \times 79 \]
32390 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 12480 |
| Square | 1049112100 |
| Cube | 33980740919000 |
| Square root | 179.972220 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.239 × |
32390 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and ninety |
| Binary (base 2) | 111111010000110 |
| Octal (base 8) | 77206 |
| Hexadecimal (base 16) | 7E86 |
| Base 3 | 1122102122 |
| As time | 32390 seconds = 8 h 59 min 50 s |
Is 32390 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32390 ÷ 2 = 16195) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32390 ÷ 5 = 6478) | 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 | No (remainder 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32390 ÷ 10 = 3239) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32390 a prime number?
No. 32390 = 2 × 5 × 41 × 79, so it is divisible by 2.
What are the factors of 32390?
1, 2, 5, 10, 41, 79, 82, 158, 205, 395, 410, 790, 3239, 6478, 16195, 32390.
What is 32390 in binary?
111111010000110 (hexadecimal 7E86, octal 77206).
What is the square root of 32390?
About 179.9722.
Is 32390 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32390?
32390 is a happy number: repeatedly adding the squares of its digits reaches 1.