The number 77340
77340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1289. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1289, 2578, 3867, 5156 … 77340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77340 is composite. Its prime factorisation is
- 3
The divisors add up to 216720; without 77340 itself that is 139380, so 77340 is abundant (139380 is more than 77340). Euler's totient φ(77340) = 20608 numbers up to 77340 share no factor with it.
- 4
The digits of 77340 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
\[ 77340 = 2^{2} \times 3 \times 5 \times 1289 \]77340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216720 |
| Euler totient φ(n) | 20608 |
| Square | 5981475600 |
| Cube | 462607322904000 |
| Square root | 278.100701 (= 2√19335) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.734 × |
77340 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and forty |
| Binary (base 2) | 10010111000011100 |
| Octal (base 8) | 227034 |
| Hexadecimal (base 16) | 12E1C |
| Base 3 | 10221002110 |
| As time | 77340 seconds = 21 h 29 min 0 s |
Is 77340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77340 ÷ 2 = 38670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77340 ÷ 3 = 25780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77340 ÷ 4 = 19335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77340 ÷ 5 = 15468) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77340 ÷ 6 = 12890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77340 ÷ 10 = 7734) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77340 ÷ 12 = 6445) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77340 a prime number?
No. 77340 = × 3 × 5 × 1289, so it is divisible by 2.
What are the factors of 77340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1289, 2578, 3867, 5156, 6445, 7734, 12890, 15468, 19335, 25780, 38670, 77340.
What is 77340 in binary?
10010111000011100 (hexadecimal 12E1C, octal 227034).
What is the square root of 77340?
About 278.1007, exactly 2√19335.
Is 77340 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 77340?
It is a composite number with 24 divisors.