The number 80475
80475 is a composite number with 24 divisors. Its prime factorisation is 3 × × 29 × 37. Divisors (24): 1, 3, 5, 15, 25, 29, 37, 75, 87, 111, 145, 185, 435, 555, 725, 925 … 80475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80475 is composite. Its prime factorisation is
- 3
The divisors add up to 141360; without 80475 itself that is 60885, so 80475 is deficient (60885 is less than 80475). Euler's totient φ(80475) = 40320 numbers up to 80475 share no factor with it.
- 4
The digits of 80475 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80475 = 3 \times 5^{2} \times 29 \times 37 \]80475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141360 |
| Euler totient φ(n) | 40320 |
| Square | 6476225625 |
| Cube | 521174257171875 |
| Square root | 283.681159 (= 5√3219) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0475 × |
80475 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and seventy-five |
| Binary (base 2) | 10011101001011011 |
| Octal (base 8) | 235133 |
| Hexadecimal (base 16) | 13A5B |
| Base 3 | 11002101120 |
| As time | 80475 seconds = 22 h 21 min 15 s |
Is 80475 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80475 ÷ 3 = 26825) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80475 ÷ 5 = 16095) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80475 a prime number?
No. 80475 = 3 × × 29 × 37, so it is divisible by 3.
What are the factors of 80475?
1, 3, 5, 15, 25, 29, 37, 75, 87, 111, 145, 185, 435, 555, 725, 925, 1073, 2175, 2775, 3219, 5365, 16095, 26825, 80475.
What is 80475 in binary?
10011101001011011 (hexadecimal 13A5B, octal 235133).
What is the square root of 80475?
About 283.6812, exactly 5√3219.
Is 80475 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 80475?
It is a composite number with 24 divisors.