The number 80416
80416 is a composite number with 24 divisors. Its prime factorisation is × 7 × 359. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 359, 718, 1436, 2513 … 80416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80416 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 80416 itself that is 101024, so 80416 is abundant (101024 is more than 80416). Euler's totient φ(80416) = 34368 numbers up to 80416 share no factor with it.
- 4
The digits of 80416 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80416 = 2^{5} \times 7 \times 359 \]80416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 34368 |
| Square | 6466733056 |
| Cube | 520028805431296 |
| Square root | 283.577150 (= 4√5026) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 138 |
| Scientific notation | 8.0416 × |
80416 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and sixteen |
| Binary (base 2) | 10011101000100000 |
| Octal (base 8) | 235040 |
| Hexadecimal (base 16) | 13A20 |
| Base 3 | 11002022101 |
| As time | 80416 seconds = 22 h 20 min 16 s |
Is 80416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80416 ÷ 2 = 40208) | 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 (80416 ÷ 4 = 20104) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 (80416 ÷ 7 = 11488) | 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 (80416 ÷ 8 = 10052) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 80416 a prime number?
No. 80416 = × 7 × 359, so it is divisible by 2.
What are the factors of 80416?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 359, 718, 1436, 2513, 2872, 5026, 5744, 10052, 11488, 20104, 40208, 80416.
What is 80416 in binary?
10011101000100000 (hexadecimal 13A20, octal 235040).
What is the square root of 80416?
About 283.5771, exactly 4√5026.
Is 80416 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80416?
It is a composite number with 24 divisors.