The number 80332
80332 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 151. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 151, 266, 302, 532, 604, 1057 … 80332.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80332: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80332 is composite. Its prime factorisation is
- 3
The divisors add up to 170240; without 80332 itself that is 89908, so 80332 is abundant (89908 is more than 80332). Euler's totient φ(80332) = 32400 numbers up to 80332 share no factor with it.
- 4
The digits of 80332 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80332 = 2^{2} \times 7 \times 19 \times 151 \]80332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 170240 |
| Euler totient φ(n) | 32400 |
| Square | 6453230224 |
| Cube | 518400890354368 |
| Square root | 283.429003 (= 2√20083) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0332 × |
80332 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and thirty-two |
| Binary (base 2) | 10011100111001100 |
| Octal (base 8) | 234714 |
| Hexadecimal (base 16) | 139CC |
| Base 3 | 11002012021 |
| As time | 80332 seconds = 22 h 18 min 52 s |
Is 80332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80332 ÷ 2 = 40166) | 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 (80332 ÷ 4 = 20083) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (80332 ÷ 7 = 11476) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 80332 a prime number?
No. 80332 = × 7 × 19 × 151, so it is divisible by 2.
What are the factors of 80332?
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 151, 266, 302, 532, 604, 1057, 2114, 2869, 4228, 5738, 11476, 20083, 40166, 80332.
What is 80332 in binary?
10011100111001100 (hexadecimal 139CC, octal 234714).
What is the square root of 80332?
About 283.4290, exactly 2√20083.
Is 80332 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80332?
80332 is a happy number: repeatedly adding the squares of its digits reaches 1.