The number 78364
78364 is a composite number with 24 divisors. Its prime factorisation is × 11 × 13 × 137. Divisors (24): 1, 2, 4, 11, 13, 22, 26, 44, 52, 137, 143, 274, 286, 548, 572, 1507 … 78364.
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How to work it out
- 1
78364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78364 is composite. Its prime factorisation is
- 3
The divisors add up to 162288; without 78364 itself that is 83924, so 78364 is abundant (83924 is more than 78364). Euler's totient φ(78364) = 32640 numbers up to 78364 share no factor with it.
- 4
The digits of 78364 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78364 = 2^{2} \times 11 \times 13 \times 137 \]78364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162288 |
| Euler totient φ(n) | 32640 |
| Square | 6140916496 |
| Cube | 481226780292544 |
| Square root | 279.935707 (= 2√19591) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 151 |
| Scientific notation | 7.8364 × |
78364 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand three hundred and sixty-four |
| Binary (base 2) | 10011001000011100 |
| Octal (base 8) | 231034 |
| Hexadecimal (base 16) | 1321C |
| Base 3 | 10222111101 |
| As time | 78364 seconds = 21 h 46 min 4 s |
Is 78364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78364 ÷ 2 = 39182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (78364 ÷ 4 = 19591) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (78364 ÷ 11 = 7124) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78364 a prime number?
No. 78364 = × 11 × 13 × 137, so it is divisible by 2.
What are the factors of 78364?
1, 2, 4, 11, 13, 22, 26, 44, 52, 137, 143, 274, 286, 548, 572, 1507, 1781, 3014, 3562, 6028, 7124, 19591, 39182, 78364.
What is 78364 in binary?
10011001000011100 (hexadecimal 1321C, octal 231034).
What is the square root of 78364?
About 279.9357, exactly 2√19591.
Is 78364 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 78364?
It is a composite number with 24 divisors.