The number 77749
77749 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 383. Divisors (8): 1, 7, 29, 203, 383, 2681, 11107, 77749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77749 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77749 is composite. Its prime factorisation is
- 3
The divisors add up to 92160; without 77749 itself that is 14411, so 77749 is deficient (14411 is less than 77749). Euler's totient φ(77749) = 64176 numbers up to 77749 share no factor with it.
- 4
The digits of 77749 add up to 34, 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
\[ 77749 = 7 \times 29 \times 383 \]
77749 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 92160 |
| Euler totient φ(n) | 64176 |
| Square | 6044907001 |
| Cube | 469985474420749 |
| Square root | 278.835077 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7749 × |
77749 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand seven hundred and forty-nine |
| Binary (base 2) | 10010111110110101 |
| Octal (base 8) | 227665 |
| Hexadecimal (base 16) | 12FB5 |
| Base 3 | 10221122121 |
| As time | 77749 seconds = 21 h 35 min 49 s |
Is 77749 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (77749 ÷ 7 = 11107) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77749 a prime number?
No. 77749 = 7 × 29 × 383, so it is divisible by 7.
What are the factors of 77749?
1, 7, 29, 203, 383, 2681, 11107, 77749.
What is 77749 in binary?
10010111110110101 (hexadecimal 12FB5, octal 227665).
What is the square root of 77749?
About 278.8351.
Is 77749 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 77749?
It is a composite number with 8 divisors.