The number 77011
77011 is a composite number with 4 divisors. Its prime factorisation is 11 × 7001. Divisors (4): 1, 11, 7001, 77011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77011: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 7001, the product of two primes.
- 2
77011 is composite. Its prime factorisation is
- 3
The divisors add up to 84024; without 77011 itself that is 7013, so 77011 is deficient (7013 is less than 77011). Euler's totient φ(77011) = 70000 numbers up to 77011 share no factor with it.
- 4
The digits of 77011 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77011 = 11 \times 7001 \]
77011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 84024 |
| Euler totient φ(n) | 70000 |
| Square | 5930694121 |
| Cube | 456728684952331 |
| Square root | 277.508558 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7011 × |
77011 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and eleven |
| Binary (base 2) | 10010110011010011 |
| Octal (base 8) | 226323 |
| Hexadecimal (base 16) | 12CD3 |
| Base 3 | 10220122021 |
| As time | 77011 seconds = 21 h 23 min 31 s |
Is 77011 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | 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 1) | 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 3) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77011 ÷ 11 = 7001) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77011 a prime number?
No. 77011 = 11 × 7001, so it is divisible by 11.
What are the factors of 77011?
1, 11, 7001, 77011.
What is 77011 in binary?
10010110011010011 (hexadecimal 12CD3, octal 226323).
What is the square root of 77011?
About 277.5086.
Is 77011 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 77011?
77011 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 7001, the product of two primes.