The number 77136
77136 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1607. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1607, 3214, 4821, 6428, 9642, 12856 … 77136.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77136: a Harshad number: divisible by its digit sum 24.
- 2
77136 is composite. Its prime factorisation is
- 3
The divisors add up to 199392; without 77136 itself that is 122256, so 77136 is abundant (122256 is more than 77136). Euler's totient φ(77136) = 25696 numbers up to 77136 share no factor with it.
- 4
The digits of 77136 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77136 = 2^{4} \times 3 \times 1607 \]77136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 199392 |
| Euler totient φ(n) | 25696 |
| Square | 5949962496 |
| Cube | 458956307091456 |
| Square root | 277.733685 (= 4√4821) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 24 |
| Scientific notation | 7.7136 × |
77136 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-six |
| Binary (base 2) | 10010110101010000 |
| Octal (base 8) | 226520 |
| Hexadecimal (base 16) | 12D50 |
| Base 3 | 10220210220 |
| As time | 77136 seconds = 21 h 25 min 36 s |
Is 77136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77136 ÷ 2 = 38568) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77136 ÷ 3 = 25712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77136 ÷ 4 = 19284) | 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 (77136 ÷ 6 = 12856) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (77136 ÷ 8 = 9642) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77136 ÷ 12 = 6428) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77136 a prime number?
No. 77136 = × 3 × 1607, so it is divisible by 2.
What are the factors of 77136?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1607, 3214, 4821, 6428, 9642, 12856, 19284, 25712, 38568, 77136.
What is 77136 in binary?
10010110101010000 (hexadecimal 12D50, octal 226520).
What is the square root of 77136?
About 277.7337, exactly 4√4821.
Is 77136 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77136?
77136 is a Harshad number: divisible by its digit sum 24.