The number 77348
77348 is a composite number with 12 divisors. Its prime factorisation is × 61 × 317. Divisors (12): 1, 2, 4, 61, 122, 244, 317, 634, 1268, 19337, 38674, 77348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77348 is composite. Its prime factorisation is
- 3
The divisors add up to 138012; without 77348 itself that is 60664, so 77348 is deficient (60664 is less than 77348). Euler's totient φ(77348) = 37920 numbers up to 77348 share no factor with it.
- 4
The digits of 77348 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77348 = 2^{2} \times 61 \times 317 \]77348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 138012 |
| Euler totient φ(n) | 37920 |
| Square | 5982713104 |
| Cube | 462750893168192 |
| Square root | 278.115084 (= 2√19337) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7348 × |
77348 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and forty-eight |
| Binary (base 2) | 10010111000100100 |
| Octal (base 8) | 227044 |
| Hexadecimal (base 16) | 12E24 |
| Base 3 | 10221002202 |
| As time | 77348 seconds = 21 h 29 min 8 s |
Is 77348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77348 ÷ 2 = 38674) | 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 (77348 ÷ 4 = 19337) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 77348 a prime number?
No. 77348 = × 61 × 317, so it is divisible by 2.
What are the factors of 77348?
1, 2, 4, 61, 122, 244, 317, 634, 1268, 19337, 38674, 77348.
What is 77348 in binary?
10010111000100100 (hexadecimal 12E24, octal 227044).
What is the square root of 77348?
About 278.1151, exactly 2√19337.
Is 77348 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77348?
It is a composite number with 12 divisors.