The number 78738
78738 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 1193. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 1193, 2386, 3579, 7158, 13123, 26246, 39369, 78738.
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How to work it out
- 1
What is special about 78738: a Harshad number: divisible by its digit sum 33.
- 2
78738 is composite. Its prime factorisation is
- 3
The divisors add up to 171936; without 78738 itself that is 93198, so 78738 is abundant (93198 is more than 78738). Euler's totient φ(78738) = 23840 numbers up to 78738 share no factor with it.
- 4
The digits of 78738 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78738 = 2 \times 3 \times 11 \times 1193 \]
78738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171936 |
| Euler totient φ(n) | 23840 |
| Square | 6199672644 |
| Cube | 488149824643272 |
| Square root | 280.602922 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.8738 × |
78738 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand seven hundred and thirty-eight |
| Binary (base 2) | 10011001110010010 |
| Octal (base 8) | 231622 |
| Hexadecimal (base 16) | 13392 |
| Base 3 | 11000000020 |
| As time | 78738 seconds = 21 h 52 min 18 s |
Is 78738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78738 ÷ 2 = 39369) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78738 ÷ 3 = 26246) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (78738 ÷ 6 = 13123) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (78738 ÷ 11 = 7158) | 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 78738 a prime number?
No. 78738 = 2 × 3 × 11 × 1193, so it is divisible by 2.
What are the factors of 78738?
1, 2, 3, 6, 11, 22, 33, 66, 1193, 2386, 3579, 7158, 13123, 26246, 39369, 78738.
What is 78738 in binary?
10011001110010010 (hexadecimal 13392, octal 231622).
What is the square root of 78738?
About 280.6029.
Is 78738 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 78738?
78738 is a Harshad number: divisible by its digit sum 33.