The number 80410
80410 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 11 × 17 × 43. Divisors (32): 1, 2, 5, 10, 11, 17, 22, 34, 43, 55, 85, 86, 110, 170, 187, 215 … 80410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80410 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80410 is composite. Its prime factorisation is
- 3
The divisors add up to 171072; without 80410 itself that is 90662, so 80410 is abundant (90662 is more than 80410). Euler's totient φ(80410) = 26880 numbers up to 80410 share no factor with it.
- 4
The digits of 80410 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80410 = 2 \times 5 \times 11 \times 17 \times 43 \]
80410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 171072 |
| Euler totient φ(n) | 26880 |
| Square | 6465768100 |
| Cube | 519912412921000 |
| Square root | 283.566571 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.041 × |
80410 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and ten |
| Binary (base 2) | 10011101000011010 |
| Octal (base 8) | 235032 |
| Hexadecimal (base 16) | 13A1A |
| Base 3 | 11002022011 |
| As time | 80410 seconds = 22 h 20 min 10 s |
Is 80410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80410 ÷ 2 = 40205) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80410 ÷ 5 = 16082) | 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 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80410 ÷ 10 = 8041) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80410 ÷ 11 = 7310) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80410 a prime number?
No. 80410 = 2 × 5 × 11 × 17 × 43, so it is divisible by 2.
What are the factors of 80410?
1, 2, 5, 10, 11, 17, 22, 34, 43, 55, 85, 86, 110, 170, 187, 215, 374, 430, 473, 731, 935, 946, 1462, 1870, 2365, 3655, 4730, 7310, 8041, 16082, 40205, 80410.
What is 80410 in binary?
10011101000011010 (hexadecimal 13A1A, octal 235032).
What is the square root of 80410?
About 283.5666.
Is 80410 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80410?
It is a composite number with 32 divisors.