The number 80342
80342 is a composite number with 12 divisors. Its prime factorisation is 2 × × 139. Divisors (12): 1, 2, 17, 34, 139, 278, 289, 578, 2363, 4726, 40171, 80342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80342: a Harshad number: divisible by its digit sum 17.
- 2
80342 is composite. Its prime factorisation is
- 3
The divisors add up to 128940; without 80342 itself that is 48598, so 80342 is deficient (48598 is less than 80342). Euler's totient φ(80342) = 37536 numbers up to 80342 share no factor with it.
- 4
The digits of 80342 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80342 = 2 \times 17^{2} \times 139 \]80342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 128940 |
| Euler totient φ(n) | 37536 |
| Square | 6454836964 |
| Cube | 518594511361688 |
| Square root | 283.446644 (= 17√278) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0342 × |
80342 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and forty-two |
| Binary (base 2) | 10011100111010110 |
| Octal (base 8) | 234726 |
| Hexadecimal (base 16) | 139D6 |
| Base 3 | 11002012122 |
| As time | 80342 seconds = 22 h 19 min 2 s |
Is 80342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80342 ÷ 2 = 40171) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80342 a prime number?
No. 80342 = 2 × × 139, so it is divisible by 2.
What are the factors of 80342?
1, 2, 17, 34, 139, 278, 289, 578, 2363, 4726, 40171, 80342.
What is 80342 in binary?
10011100111010110 (hexadecimal 139D6, octal 234726).
What is the square root of 80342?
About 283.4466, exactly 17√278.
Is 80342 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80342?
80342 is a Harshad number: divisible by its digit sum 17.