The number 77436
77436 is a composite number with 30 divisors. Its prime factorisation is × × 239. Divisors (30): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 239, 324 … 77436.
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How to work it out
- 1
What is special about 77436: a Harshad number: divisible by its digit sum 27.
- 2
77436 is composite. Its prime factorisation is
- 3
The divisors add up to 203280; without 77436 itself that is 125844, so 77436 is abundant (125844 is more than 77436). Euler's totient φ(77436) = 25704 numbers up to 77436 share no factor with it.
- 4
The digits of 77436 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
\[ 77436 = 2^{2} \times 3^{4} \times 239 \]77436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 203280 |
| Euler totient φ(n) | 25704 |
| Square | 5996334096 |
| Cube | 464332127057856 |
| Square root | 278.273247 (= 18√239) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7436 × |
77436 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and thirty-six |
| Binary (base 2) | 10010111001111100 |
| Octal (base 8) | 227174 |
| Hexadecimal (base 16) | 12E7C |
| Base 3 | 10221020000 |
| As time | 77436 seconds = 21 h 30 min 36 s |
Is 77436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77436 ÷ 2 = 38718) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77436 ÷ 3 = 25812) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77436 ÷ 4 = 19359) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77436 ÷ 6 = 12906) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77436 ÷ 9 = 8604) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (77436 ÷ 12 = 6453) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77436 a prime number?
No. 77436 = × × 239, so it is divisible by 2.
What are the factors of 77436?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 239, 324, 478, 717, 956, 1434, 2151, 2868, 4302, 6453, 8604, 12906, 19359, 25812, 38718, 77436.
What is 77436 in binary?
10010111001111100 (hexadecimal 12E7C, octal 227174).
What is the square root of 77436?
About 278.2732, exactly 18√239.
Is 77436 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77436?
77436 is a Harshad number: divisible by its digit sum 27.