The number 77324
77324 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1487. Divisors (12): 1, 2, 4, 13, 26, 52, 1487, 2974, 5948, 19331, 38662, 77324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77324 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77324 is composite. Its prime factorisation is
- 3
The divisors add up to 145824; without 77324 itself that is 68500, so 77324 is deficient (68500 is less than 77324). Euler's totient φ(77324) = 35664 numbers up to 77324 share no factor with it.
- 4
The digits of 77324 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77324 = 2^{2} \times 13 \times 1487 \]77324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145824 |
| Euler totient φ(n) | 35664 |
| Square | 5979000976 |
| Cube | 462320271468224 |
| Square root | 278.071933 (= 2√19331) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7324 × |
77324 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and twenty-four |
| Binary (base 2) | 10010111000001100 |
| Octal (base 8) | 227014 |
| Hexadecimal (base 16) | 12E0C |
| Base 3 | 10221001212 |
| As time | 77324 seconds = 21 h 28 min 44 s |
Is 77324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77324 ÷ 2 = 38662) | 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 (77324 ÷ 4 = 19331) | 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 2) | 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 | No (remainder 5) | 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 | No (remainder 5) | 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 77324 a prime number?
No. 77324 = × 13 × 1487, so it is divisible by 2.
What are the factors of 77324?
1, 2, 4, 13, 26, 52, 1487, 2974, 5948, 19331, 38662, 77324.
What is 77324 in binary?
10010111000001100 (hexadecimal 12E0C, octal 227014).
What is the square root of 77324?
About 278.0719, exactly 2√19331.
Is 77324 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77324?
It is a composite number with 12 divisors.