The number 77913
77913 is a composite number with 12 divisors. Its prime factorisation is × 11 × 787. Divisors (12): 1, 3, 9, 11, 33, 99, 787, 2361, 7083, 8657, 25971, 77913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77913 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77913 is composite. Its prime factorisation is
- 3
The divisors add up to 122928; without 77913 itself that is 45015, so 77913 is deficient (45015 is less than 77913). Euler's totient φ(77913) = 47160 numbers up to 77913 share no factor with it.
- 4
The digits of 77913 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77913 = 3^{2} \times 11 \times 787 \]77913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 122928 |
| Euler totient φ(n) | 47160 |
| Square | 6070435569 |
| Cube | 472965846487497 |
| Square root | 279.129002 (= 3√8657) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7913 × |
77913 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and thirteen |
| Binary (base 2) | 10011000001011001 |
| Octal (base 8) | 230131 |
| Hexadecimal (base 16) | 13059 |
| Base 3 | 10221212200 |
| As time | 77913 seconds = 21 h 38 min 33 s |
Is 77913 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 (77913 ÷ 3 = 25971) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77913 ÷ 9 = 8657) | 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 | Yes (77913 ÷ 11 = 7083) | 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 77913 a prime number?
No. 77913 = × 11 × 787, so it is divisible by 3.
What are the factors of 77913?
1, 3, 9, 11, 33, 99, 787, 2361, 7083, 8657, 25971, 77913.
What is 77913 in binary?
10011000001011001 (hexadecimal 13059, octal 230131).
What is the square root of 77913?
About 279.1290, exactly 3√8657.
Is 77913 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77913?
It is a composite number with 12 divisors.