The number 78273
78273 is a composite number with 16 divisors. Its prime factorisation is × 13 × 223. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 223, 351, 669, 2007, 2899, 6021, 8697, 26091, 78273.
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How to work it out
- 1
What is special about 78273: a Harshad number: divisible by its digit sum 27.
- 2
78273 is composite. Its prime factorisation is
- 3
The divisors add up to 125440; without 78273 itself that is 47167, so 78273 is deficient (47167 is less than 78273). Euler's totient φ(78273) = 47952 numbers up to 78273 share no factor with it.
- 4
The digits of 78273 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
\[ 78273 = 3^{3} \times 13 \times 223 \]78273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 125440 |
| Euler totient φ(n) | 47952 |
| Square | 6126662529 |
| Cube | 479552256132417 |
| Square root | 279.773122 (= 3√8697) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.8273 × |
78273 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand two hundred and seventy-three |
| Binary (base 2) | 10011000111000001 |
| Octal (base 8) | 230701 |
| Hexadecimal (base 16) | 131C1 |
| Base 3 | 10222101000 |
| As time | 78273 seconds = 21 h 44 min 33 s |
Is 78273 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78273 ÷ 3 = 26091) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (78273 ÷ 9 = 8697) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78273 a prime number?
No. 78273 = × 13 × 223, so it is divisible by 3.
What are the factors of 78273?
1, 3, 9, 13, 27, 39, 117, 223, 351, 669, 2007, 2899, 6021, 8697, 26091, 78273.
What is 78273 in binary?
10011000111000001 (hexadecimal 131C1, octal 230701).
What is the square root of 78273?
About 279.7731, exactly 3√8697.
Is 78273 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 78273?
78273 is a Harshad number: divisible by its digit sum 27.