The number 80465
80465 is a composite number with 24 divisors. Its prime factorisation is 5 × 7 × × 19. Divisors (24): 1, 5, 7, 11, 19, 35, 55, 77, 95, 121, 133, 209, 385, 605, 665, 847 … 80465.
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How to work it out
- 1
80465 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80465 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 80465 itself that is 47215, so 80465 is deficient (47215 is less than 80465). Euler's totient φ(80465) = 47520 numbers up to 80465 share no factor with it.
- 4
The digits of 80465 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80465 = 5 \times 7 \times 11^{2} \times 19 \]80465 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 47520 |
| Square | 6474616225 |
| Cube | 520979994544625 |
| Square root | 283.663533 (= 11√665) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0465 × |
80465 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and sixty-five |
| Binary (base 2) | 10011101001010001 |
| Octal (base 8) | 235121 |
| Hexadecimal (base 16) | 13A51 |
| Base 3 | 11002101012 |
| As time | 80465 seconds = 22 h 21 min 5 s |
Is 80465 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80465 ÷ 5 = 16093) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80465 ÷ 7 = 11495) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (80465 ÷ 11 = 7315) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80465 a prime number?
No. 80465 = 5 × 7 × × 19, so it is divisible by 5.
What are the factors of 80465?
1, 5, 7, 11, 19, 35, 55, 77, 95, 121, 133, 209, 385, 605, 665, 847, 1045, 1463, 2299, 4235, 7315, 11495, 16093, 80465.
What is 80465 in binary?
10011101001010001 (hexadecimal 13A51, octal 235121).
What is the square root of 80465?
About 283.6635, exactly 11√665.
Is 80465 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 80465?
It is a composite number with 24 divisors.