The number 77949
77949 is a composite number with 8 divisors. Its prime factorisation is × 2887. Divisors (8): 1, 3, 9, 27, 2887, 8661, 25983, 77949.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77949 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77949 is composite. Its prime factorisation is
- 3
The divisors add up to 115520; without 77949 itself that is 37571, so 77949 is deficient (37571 is less than 77949). Euler's totient φ(77949) = 51948 numbers up to 77949 share no factor with it.
- 4
The digits of 77949 add up to 36, 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
\[ 77949 = 3^{3} \times 2887 \]77949 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 115520 |
| Euler totient φ(n) | 51948 |
| Square | 6076046601 |
| Cube | 473621756501349 |
| Square root | 279.193481 (= 3√8661) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7949 × |
77949 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and forty-nine |
| Binary (base 2) | 10011000001111101 |
| Octal (base 8) | 230175 |
| Hexadecimal (base 16) | 1307D |
| Base 3 | 10221221000 |
| As time | 77949 seconds = 21 h 39 min 9 s |
Is 77949 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 (77949 ÷ 3 = 25983) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77949 ÷ 9 = 8661) | 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 3) | 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 77949 a prime number?
No. 77949 = × 2887, so it is divisible by 3.
What are the factors of 77949?
1, 3, 9, 27, 2887, 8661, 25983, 77949.
What is 77949 in binary?
10011000001111101 (hexadecimal 1307D, octal 230175).
What is the square root of 77949?
About 279.1935, exactly 3√8661.
Is 77949 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 77949?
It is a composite number with 8 divisors.