The number 77730
77730 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2591. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2591, 5182, 7773, 12955, 15546, 25910, 38865, 77730.
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How to work it out
- 1
77730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77730 is composite. Its prime factorisation is
- 3
The divisors add up to 186624; without 77730 itself that is 108894, so 77730 is abundant (108894 is more than 77730). Euler's totient φ(77730) = 20720 numbers up to 77730 share no factor with it.
- 4
The digits of 77730 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77730 = 2 \times 3 \times 5 \times 2591 \]
77730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 186624 |
| Euler totient φ(n) | 20720 |
| Square | 6041952900 |
| Cube | 469640998917000 |
| Square root | 278.801004 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.773 × |
77730 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and thirty |
| Binary (base 2) | 10010111110100010 |
| Octal (base 8) | 227642 |
| Hexadecimal (base 16) | 12FA2 |
| Base 3 | 10221121220 |
| As time | 77730 seconds = 21 h 35 min 30 s |
Is 77730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77730 ÷ 2 = 38865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77730 ÷ 3 = 25910) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77730 ÷ 5 = 15546) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77730 ÷ 6 = 12955) | 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 2) | 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 | Yes (77730 ÷ 10 = 7773) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77730 a prime number?
No. 77730 = 2 × 3 × 5 × 2591, so it is divisible by 2.
What are the factors of 77730?
1, 2, 3, 5, 6, 10, 15, 30, 2591, 5182, 7773, 12955, 15546, 25910, 38865, 77730.
What is 77730 in binary?
10010111110100010 (hexadecimal 12FA2, octal 227642).
What is the square root of 77730?
About 278.8010.
Is 77730 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77730?
It is a composite number with 16 divisors.