The number 32380
32380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1619. Divisors (12): 1, 2, 4, 5, 10, 20, 1619, 3238, 6476, 8095, 16190, 32380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32380: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32380 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 32380 itself that is 35660, so 32380 is abundant (35660 is more than 32380). Euler's totient φ(32380) = 12944 numbers up to 32380 share no factor with it.
- 4
The digits of 32380 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32380 = 2^{2} \times 5 \times 1619 \]32380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 12944 |
| Square | 1048464400 |
| Cube | 33949277272000 |
| Square root | 179.944436 (= 2√8095) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.238 × |
32380 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and eighty |
| Binary (base 2) | 111111001111100 |
| Octal (base 8) | 77174 |
| Hexadecimal (base 16) | 7E7C |
| Base 3 | 1122102021 |
| As time | 32380 seconds = 8 h 59 min 40 s |
Is 32380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32380 ÷ 2 = 16190) | 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 | Yes (32380 ÷ 4 = 8095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32380 ÷ 5 = 6476) | 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 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32380 ÷ 10 = 3238) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32380 a prime number?
No. 32380 = × 5 × 1619, so it is divisible by 2.
What are the factors of 32380?
1, 2, 4, 5, 10, 20, 1619, 3238, 6476, 8095, 16190, 32380.
What is 32380 in binary?
111111001111100 (hexadecimal 7E7C, octal 77174).
What is the square root of 32380?
About 179.9444, exactly 2√8095.
Is 32380 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32380?
32380 is a happy number: repeatedly adding the squares of its digits reaches 1.