The number 77430
77430 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 29 × 89. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 89, 145, 174, 178, 267 … 77430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77430 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77430 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 77430 itself that is 116970, so 77430 is abundant (116970 is more than 77430). Euler's totient φ(77430) = 19712 numbers up to 77430 share no factor with it.
- 4
The digits of 77430 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77430 = 2 \times 3 \times 5 \times 29 \times 89 \]
77430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 19712 |
| Square | 5995404900 |
| Cube | 464224201407000 |
| Square root | 278.262466 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.743 × |
77430 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and thirty |
| Binary (base 2) | 10010111001110110 |
| Octal (base 8) | 227166 |
| Hexadecimal (base 16) | 12E76 |
| Base 3 | 10221012210 |
| As time | 77430 seconds = 21 h 30 min 30 s |
Is 77430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77430 ÷ 2 = 38715) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77430 ÷ 3 = 25810) | 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 (77430 ÷ 5 = 15486) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77430 ÷ 6 = 12905) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77430 ÷ 10 = 7743) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 77430 a prime number?
No. 77430 = 2 × 3 × 5 × 29 × 89, so it is divisible by 2.
What are the factors of 77430?
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 89, 145, 174, 178, 267, 290, 435, 445, 534, 870, 890, 1335, 2581, 2670, 5162, 7743, 12905, 15486, 25810, 38715, 77430.
What is 77430 in binary?
10010111001110110 (hexadecimal 12E76, octal 227166).
What is the square root of 77430?
About 278.2625.
Is 77430 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77430?
It is a composite number with 32 divisors.