The number 77103
77103 is a composite number with 12 divisors. Its prime factorisation is × 13 × 659. Divisors (12): 1, 3, 9, 13, 39, 117, 659, 1977, 5931, 8567, 25701, 77103.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77103 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77103 is composite. Its prime factorisation is
- 3
The divisors add up to 120120; without 77103 itself that is 43017, so 77103 is deficient (43017 is less than 77103). Euler's totient φ(77103) = 47376 numbers up to 77103 share no factor with it.
- 4
The digits of 77103 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77103 = 3^{2} \times 13 \times 659 \]77103 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120120 |
| Euler totient φ(n) | 47376 |
| Square | 5944872609 |
| Cube | 458367512771727 |
| Square root | 277.674270 (= 3√8567) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7103 × |
77103 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and three |
| Binary (base 2) | 10010110100101111 |
| Octal (base 8) | 226457 |
| Hexadecimal (base 16) | 12D2F |
| Base 3 | 10220202200 |
| As time | 77103 seconds = 21 h 25 min 3 s |
Is 77103 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 (77103 ÷ 3 = 25701) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77103 ÷ 9 = 8567) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77103 a prime number?
No. 77103 = × 13 × 659, so it is divisible by 3.
What are the factors of 77103?
1, 3, 9, 13, 39, 117, 659, 1977, 5931, 8567, 25701, 77103.
What is 77103 in binary?
10010110100101111 (hexadecimal 12D2F, octal 226457).
What is the square root of 77103?
About 277.6743, exactly 3√8567.
Is 77103 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77103?
It is a composite number with 12 divisors.