The number 76842
76842 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1423. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1423, 2846, 4269, 8538, 12807, 25614, 38421, 76842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76842: a Harshad number: divisible by its digit sum 27.
- 2
76842 is composite. Its prime factorisation is
- 3
The divisors add up to 170880; without 76842 itself that is 94038, so 76842 is abundant (94038 is more than 76842). Euler's totient φ(76842) = 25596 numbers up to 76842 share no factor with it.
- 4
The digits of 76842 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76842 = 2 \times 3^{3} \times 1423 \]76842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 170880 |
| Euler totient φ(n) | 25596 |
| Square | 5904692964 |
| Cube | 453728416739688 |
| Square root | 277.203896 (= 3√8538) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6842 × |
76842 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand eight hundred and forty-two |
| Binary (base 2) | 10010110000101010 |
| Octal (base 8) | 226052 |
| Hexadecimal (base 16) | 12C2A |
| Base 3 | 10220102000 |
| As time | 76842 seconds = 21 h 20 min 42 s |
Is 76842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76842 ÷ 2 = 38421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76842 ÷ 3 = 25614) | 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 (76842 ÷ 6 = 12807) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76842 ÷ 9 = 8538) | 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 7) | 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 76842 a prime number?
No. 76842 = 2 × × 1423, so it is divisible by 2.
What are the factors of 76842?
1, 2, 3, 6, 9, 18, 27, 54, 1423, 2846, 4269, 8538, 12807, 25614, 38421, 76842.
What is 76842 in binary?
10010110000101010 (hexadecimal 12C2A, octal 226052).
What is the square root of 76842?
About 277.2039, exactly 3√8538.
Is 76842 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76842?
76842 is a Harshad number: divisible by its digit sum 27.