The number 38077
38077 is a composite number with 8 divisors. Its prime factorisation is 13 × 29 × 101. Divisors (8): 1, 13, 29, 101, 377, 1313, 2929, 38077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38077 is composite. Its prime factorisation is
- 3
The divisors add up to 42840; without 38077 itself that is 4763, so 38077 is deficient (4763 is less than 38077). Euler's totient φ(38077) = 33600 numbers up to 38077 share no factor with it.
- 4
The digits of 38077 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38077 = 13 \times 29 \times 101 \]
38077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42840 |
| Euler totient φ(n) | 33600 |
| Square | 1449857929 |
| Cube | 55206240362533 |
| Square root | 195.133288 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8077 × |
38077 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and seventy-seven |
| Binary (base 2) | 1001010010111101 |
| Octal (base 8) | 112275 |
| Hexadecimal (base 16) | 94BD |
| Base 3 | 1221020021 |
| As time | 38077 seconds = 10 h 34 min 37 s |
Is 38077 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38077 a prime number?
No. 38077 = 13 × 29 × 101, so it is divisible by 13.
What are the factors of 38077?
1, 13, 29, 101, 377, 1313, 2929, 38077.
What is 38077 in binary?
1001010010111101 (hexadecimal 94BD, octal 112275).
What is the square root of 38077?
About 195.1333.
Is 38077 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38077?
It is a composite number with 8 divisors.