The number 77506
77506 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 271. Divisors (16): 1, 2, 11, 13, 22, 26, 143, 271, 286, 542, 2981, 3523, 5962, 7046, 38753, 77506.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77506 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77506 is composite. Its prime factorisation is
- 3
The divisors add up to 137088; without 77506 itself that is 59582, so 77506 is deficient (59582 is less than 77506). Euler's totient φ(77506) = 32400 numbers up to 77506 share no factor with it.
- 4
The digits of 77506 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77506 = 2 \times 11 \times 13 \times 271 \]
77506 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137088 |
| Euler totient φ(n) | 32400 |
| Square | 6007180036 |
| Cube | 465592495870216 |
| Square root | 278.398994 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7506 × |
77506 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand five hundred and six |
| Binary (base 2) | 10010111011000010 |
| Octal (base 8) | 227302 |
| Hexadecimal (base 16) | 12EC2 |
| Base 3 | 10221022121 |
| As time | 77506 seconds = 21 h 31 min 46 s |
Is 77506 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77506 ÷ 2 = 38753) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 7) | 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 | Yes (77506 ÷ 11 = 7046) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77506 a prime number?
No. 77506 = 2 × 11 × 13 × 271, so it is divisible by 2.
What are the factors of 77506?
1, 2, 11, 13, 22, 26, 143, 271, 286, 542, 2981, 3523, 5962, 7046, 38753, 77506.
What is 77506 in binary?
10010111011000010 (hexadecimal 12EC2, octal 227302).
What is the square root of 77506?
About 278.3990.
Is 77506 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77506?
It is a composite number with 16 divisors.