The number 77960
77960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1949. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1949, 3898, 7796, 9745, 15592, 19490, 38980, 77960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77960 is composite. Its prime factorisation is
- 3
The divisors add up to 175500; without 77960 itself that is 97540, so 77960 is abundant (97540 is more than 77960). Euler's totient φ(77960) = 31168 numbers up to 77960 share no factor with it.
- 4
The digits of 77960 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77960 = 2^{3} \times 5 \times 1949 \]77960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 175500 |
| Euler totient φ(n) | 31168 |
| Square | 6077761600 |
| Cube | 473822294336000 |
| Square root | 279.213180 (= 2√19490) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.796 × |
77960 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and sixty |
| Binary (base 2) | 10011000010001000 |
| Octal (base 8) | 230210 |
| Hexadecimal (base 16) | 13088 |
| Base 3 | 10221221102 |
| As time | 77960 seconds = 21 h 39 min 20 s |
Is 77960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77960 ÷ 2 = 38980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77960 ÷ 4 = 19490) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77960 ÷ 5 = 15592) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (77960 ÷ 8 = 9745) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77960 ÷ 10 = 7796) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77960 a prime number?
No. 77960 = × 5 × 1949, so it is divisible by 2.
What are the factors of 77960?
1, 2, 4, 5, 8, 10, 20, 40, 1949, 3898, 7796, 9745, 15592, 19490, 38980, 77960.
What is 77960 in binary?
10011000010001000 (hexadecimal 13088, octal 230210).
What is the square root of 77960?
About 279.2132, exactly 2√19490.
Is 77960 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77960?
It is a composite number with 16 divisors.