The number 68742
68742 is a composite number with 32 divisors. Its prime factorisation is 2 × × 19 × 67. Divisors (32): 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 67, 114, 134, 171, 201 … 68742.
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How to work it out
- 1
What is special about 68742: a Harshad number: divisible by its digit sum 27.
- 2
68742 is composite. Its prime factorisation is
- 3
The divisors add up to 163200; without 68742 itself that is 94458, so 68742 is abundant (94458 is more than 68742). Euler's totient φ(68742) = 21384 numbers up to 68742 share no factor with it.
- 4
The digits of 68742 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68742 = 2 \times 3^{3} \times 19 \times 67 \]68742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 163200 |
| Euler totient φ(n) | 21384 |
| Square | 4725462564 |
| Cube | 324837747574488 |
| Square root | 262.186956 (= 3√7638) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 6.8742 × |
68742 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand seven hundred and forty-two |
| Binary (base 2) | 10000110010000110 |
| Octal (base 8) | 206206 |
| Hexadecimal (base 16) | 10C86 |
| Base 3 | 10111022000 |
| As time | 68742 seconds = 19 h 5 min 42 s |
Is 68742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68742 ÷ 2 = 34371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68742 ÷ 3 = 22914) | 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 (68742 ÷ 6 = 11457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (68742 ÷ 9 = 7638) | 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 3) | 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 68742 a prime number?
No. 68742 = 2 × × 19 × 67, so it is divisible by 2.
What are the factors of 68742?
1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 67, 114, 134, 171, 201, 342, 402, 513, 603, 1026, 1206, 1273, 1809, 2546, 3618, 3819, 7638, 11457, 22914, 34371, 68742.
What is 68742 in binary?
10000110010000110 (hexadecimal 10C86, octal 206206).
What is the square root of 68742?
About 262.1870, exactly 3√7638.
Is 68742 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 68742?
68742 is a Harshad number: divisible by its digit sum 27.