The number 77013
77013 is a composite number with 12 divisors. Its prime factorisation is × 43 × 199. Divisors (12): 1, 3, 9, 43, 129, 199, 387, 597, 1791, 8557, 25671, 77013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77013 is composite. Its prime factorisation is
- 3
The divisors add up to 114400; without 77013 itself that is 37387, so 77013 is deficient (37387 is less than 77013). Euler's totient φ(77013) = 49896 numbers up to 77013 share no factor with it.
- 4
The digits of 77013 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77013 = 3^{2} \times 43 \times 199 \]77013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 114400 |
| Euler totient φ(n) | 49896 |
| Square | 5931002169 |
| Cube | 456764270041197 |
| Square root | 277.512162 (= 3√8557) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.7013 × |
77013 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and thirteen |
| Binary (base 2) | 10010110011010101 |
| Octal (base 8) | 226325 |
| Hexadecimal (base 16) | 12CD5 |
| Base 3 | 10220122100 |
| As time | 77013 seconds = 21 h 23 min 33 s |
Is 77013 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 | Yes (77013 ÷ 3 = 25671) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77013 ÷ 9 = 8557) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77013 a prime number?
No. 77013 = × 43 × 199, so it is divisible by 3.
What are the factors of 77013?
1, 3, 9, 43, 129, 199, 387, 597, 1791, 8557, 25671, 77013.
What is 77013 in binary?
10010110011010101 (hexadecimal 12CD5, octal 226325).
What is the square root of 77013?
About 277.5122, exactly 3√8557.
Is 77013 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77013?
It is a composite number with 12 divisors.