The number 78342
78342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1187. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1187, 2374, 3561, 7122, 13057, 26114, 39171, 78342.
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How to work it out
- 1
78342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78342 is composite. Its prime factorisation is
- 3
The divisors add up to 171072; without 78342 itself that is 92730, so 78342 is abundant (92730 is more than 78342). Euler's totient φ(78342) = 23720 numbers up to 78342 share no factor with it.
- 4
The digits of 78342 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78342 = 2 \times 3 \times 11 \times 1187 \]
78342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171072 |
| Euler totient φ(n) | 23720 |
| Square | 6137468964 |
| Cube | 480821593577688 |
| Square root | 279.896409 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.8342 × |
78342 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand three hundred and forty-two |
| Binary (base 2) | 10011001000000110 |
| Octal (base 8) | 231006 |
| Hexadecimal (base 16) | 13206 |
| Base 3 | 10222110120 |
| As time | 78342 seconds = 21 h 45 min 42 s |
Is 78342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78342 ÷ 2 = 39171) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78342 ÷ 3 = 26114) | 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 | Yes (78342 ÷ 6 = 13057) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (78342 ÷ 11 = 7122) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78342 a prime number?
No. 78342 = 2 × 3 × 11 × 1187, so it is divisible by 2.
What are the factors of 78342?
1, 2, 3, 6, 11, 22, 33, 66, 1187, 2374, 3561, 7122, 13057, 26114, 39171, 78342.
What is 78342 in binary?
10011001000000110 (hexadecimal 13206, octal 231006).
What is the square root of 78342?
About 279.8964.
Is 78342 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 78342?
It is a composite number with 16 divisors.