The number 77006
77006 is a composite number with 8 divisors. Its prime factorisation is 2 × 139 × 277. Divisors (8): 1, 2, 139, 277, 278, 554, 38503, 77006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77006 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77006 is composite. Its prime factorisation is
- 3
The divisors add up to 116760; without 77006 itself that is 39754, so 77006 is deficient (39754 is less than 77006). Euler's totient φ(77006) = 38088 numbers up to 77006 share no factor with it.
- 4
The digits of 77006 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77006 = 2 \times 139 \times 277 \]
77006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 116760 |
| Euler totient φ(n) | 38088 |
| Square | 5929924036 |
| Cube | 456639730316216 |
| Square root | 277.499550 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7006 × |
77006 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and six |
| Binary (base 2) | 10010110011001110 |
| Octal (base 8) | 226316 |
| Hexadecimal (base 16) | 12CCE |
| Base 3 | 10220122002 |
| As time | 77006 seconds = 21 h 23 min 26 s |
Is 77006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77006 ÷ 2 = 38503) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77006 a prime number?
No. 77006 = 2 × 139 × 277, so it is divisible by 2.
What are the factors of 77006?
1, 2, 139, 277, 278, 554, 38503, 77006.
What is 77006 in binary?
10010110011001110 (hexadecimal 12CCE, octal 226316).
What is the square root of 77006?
About 277.4995.
Is 77006 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77006?
It is a composite number with 8 divisors.