The number 77406
77406 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 19 × 97. Divisors (32): 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 97, 114, 133, 194, 266 … 77406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77406 is composite. Its prime factorisation is
- 3
The divisors add up to 188160; without 77406 itself that is 110754, so 77406 is abundant (110754 is more than 77406). Euler's totient φ(77406) = 20736 numbers up to 77406 share no factor with it.
- 4
The digits of 77406 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77406 = 2 \times 3 \times 7 \times 19 \times 97 \]
77406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 188160 |
| Euler totient φ(n) | 20736 |
| Square | 5991688836 |
| Cube | 463792666039416 |
| Square root | 278.219338 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7406 × |
77406 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand four hundred and six |
| Binary (base 2) | 10010111001011110 |
| Octal (base 8) | 227136 |
| Hexadecimal (base 16) | 12E5E |
| Base 3 | 10221011220 |
| As time | 77406 seconds = 21 h 30 min 6 s |
Is 77406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77406 ÷ 2 = 38703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77406 ÷ 3 = 25802) | 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 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77406 ÷ 6 = 12901) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77406 ÷ 7 = 11058) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77406 a prime number?
No. 77406 = 2 × 3 × 7 × 19 × 97, so it is divisible by 2.
What are the factors of 77406?
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 97, 114, 133, 194, 266, 291, 399, 582, 679, 798, 1358, 1843, 2037, 3686, 4074, 5529, 11058, 12901, 25802, 38703, 77406.
What is 77406 in binary?
10010111001011110 (hexadecimal 12E5E, octal 227136).
What is the square root of 77406?
About 278.2193.
Is 77406 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77406?
It is a composite number with 32 divisors.