The number 80352
80352 is a composite number with 60 divisors. Its prime factorisation is × × 31. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48 … 80352.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80352: a Harshad number: divisible by its digit sum 18.
- 2
80352 is composite. Its prime factorisation is
- 3
The divisors add up to 243936; without 80352 itself that is 163584, so 80352 is abundant (163584 is more than 80352). Euler's totient φ(80352) = 25920 numbers up to 80352 share no factor with it.
- 4
The digits of 80352 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80352 = 2^{5} \times 3^{4} \times 31 \]80352 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 243936 |
| Euler totient φ(n) | 25920 |
| Square | 6456443904 |
| Cube | 518788180574208 |
| Square root | 283.464283 (= 36√62) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0352 × |
80352 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and fifty-two |
| Binary (base 2) | 10011100111100000 |
| Octal (base 8) | 234740 |
| Hexadecimal (base 16) | 139E0 |
| Base 3 | 11002020000 |
| As time | 80352 seconds = 22 h 19 min 12 s |
Is 80352 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80352 ÷ 2 = 40176) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80352 ÷ 3 = 26784) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80352 ÷ 4 = 20088) | 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 | Yes (80352 ÷ 6 = 13392) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (80352 ÷ 8 = 10044) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80352 ÷ 9 = 8928) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80352 ÷ 12 = 6696) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80352 a prime number?
No. 80352 = × × 31, so it is divisible by 2.
What are the factors of 80352?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 32, 36, 48, 54, 62, 72, 81, 93, 96, 108, 124, 144, 162, 186, 216, 248, 279, 288, 324, 372, 432, 496, 558, 648, 744, 837, 864, 992, 1116, 1296, 1488, 1674, 2232, 2511, 2592, 2976, 3348, 4464, 5022, 6696, 8928, 10044, 13392, 20088, 26784, 40176, 80352.
What is 80352 in binary?
10011100111100000 (hexadecimal 139E0, octal 234740).
What is the square root of 80352?
About 283.4643, exactly 36√62.
Is 80352 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80352?
80352 is a Harshad number: divisible by its digit sum 18.