The number 80344
80344 is a composite number with 24 divisors. Its prime factorisation is × × 83. Divisors (24): 1, 2, 4, 8, 11, 22, 44, 83, 88, 121, 166, 242, 332, 484, 664, 913 … 80344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80344 is composite. Its prime factorisation is
- 3
The divisors add up to 167580; without 80344 itself that is 87236, so 80344 is abundant (87236 is more than 80344). Euler's totient φ(80344) = 36080 numbers up to 80344 share no factor with it.
- 4
The digits of 80344 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80344 = 2^{3} \times 11^{2} \times 83 \]80344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 167580 |
| Euler totient φ(n) | 36080 |
| Square | 6455158336 |
| Cube | 518633241347584 |
| Square root | 283.450172 (= 22√166) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0344 × |
80344 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and forty-four |
| Binary (base 2) | 10011100111011000 |
| Octal (base 8) | 234730 |
| Hexadecimal (base 16) | 139D8 |
| Base 3 | 11002012201 |
| As time | 80344 seconds = 22 h 19 min 4 s |
Is 80344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80344 ÷ 2 = 40172) | 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 (80344 ÷ 4 = 20086) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (80344 ÷ 8 = 10043) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80344 ÷ 11 = 7304) | 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 80344 a prime number?
No. 80344 = × × 83, so it is divisible by 2.
What are the factors of 80344?
1, 2, 4, 8, 11, 22, 44, 83, 88, 121, 166, 242, 332, 484, 664, 913, 968, 1826, 3652, 7304, 10043, 20086, 40172, 80344.
What is 80344 in binary?
10011100111011000 (hexadecimal 139D8, octal 234730).
What is the square root of 80344?
About 283.4502, exactly 22√166.
Is 80344 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80344?
It is a composite number with 24 divisors.