The number 77132
77132 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1753. Divisors (12): 1, 2, 4, 11, 22, 44, 1753, 3506, 7012, 19283, 38566, 77132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77132 is composite. Its prime factorisation is
- 3
The divisors add up to 147336; without 77132 itself that is 70204, so 77132 is deficient (70204 is less than 77132). Euler's totient φ(77132) = 35040 numbers up to 77132 share no factor with it.
- 4
The digits of 77132 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77132 = 2^{2} \times 11 \times 1753 \]77132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 147336 |
| Euler totient φ(n) | 35040 |
| Square | 5949345424 |
| Cube | 458884911243968 |
| Square root | 277.726484 (= 2√19283) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7132 × |
77132 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and thirty-two |
| Binary (base 2) | 10010110101001100 |
| Octal (base 8) | 226514 |
| Hexadecimal (base 16) | 12D4C |
| Base 3 | 10220210202 |
| As time | 77132 seconds = 21 h 25 min 32 s |
Is 77132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77132 ÷ 2 = 38566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77132 ÷ 4 = 19283) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77132 ÷ 11 = 7012) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77132 a prime number?
No. 77132 = × 11 × 1753, so it is divisible by 2.
What are the factors of 77132?
1, 2, 4, 11, 22, 44, 1753, 3506, 7012, 19283, 38566, 77132.
What is 77132 in binary?
10010110101001100 (hexadecimal 12D4C, octal 226514).
What is the square root of 77132?
About 277.7265, exactly 2√19283.
Is 77132 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77132?
It is a composite number with 12 divisors.