The number 77148
77148 is a composite number with 18 divisors. Its prime factorisation is × × 2143. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2143, 4286, 6429, 8572, 12858, 19287, 25716 … 77148.
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How to work it out
- 1
77148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77148 is composite. Its prime factorisation is
- 3
The divisors add up to 195104; without 77148 itself that is 117956, so 77148 is abundant (117956 is more than 77148). Euler's totient φ(77148) = 25704 numbers up to 77148 share no factor with it.
- 4
The digits of 77148 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
\[ 77148 = 2^{2} \times 3^{2} \times 2143 \]77148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 195104 |
| Euler totient φ(n) | 25704 |
| Square | 5951813904 |
| Cube | 459170539065792 |
| Square root | 277.755288 (= 6√2143) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7148 × |
77148 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and forty-eight |
| Binary (base 2) | 10010110101011100 |
| Octal (base 8) | 226534 |
| Hexadecimal (base 16) | 12D5C |
| Base 3 | 10220211100 |
| As time | 77148 seconds = 21 h 25 min 48 s |
Is 77148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77148 ÷ 2 = 38574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77148 ÷ 3 = 25716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77148 ÷ 4 = 19287) | 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 | Yes (77148 ÷ 6 = 12858) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77148 ÷ 9 = 8572) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77148 ÷ 12 = 6429) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77148 a prime number?
No. 77148 = × × 2143, so it is divisible by 2.
What are the factors of 77148?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2143, 4286, 6429, 8572, 12858, 19287, 25716, 38574, 77148.
What is 77148 in binary?
10010110101011100 (hexadecimal 12D5C, octal 226534).
What is the square root of 77148?
About 277.7553, exactly 6√2143.
Is 77148 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77148?
It is a composite number with 18 divisors.