The number 4138
4138 is a composite number with 4 divisors. Its prime factorisation is 2 × 2069. Divisors (4): 1, 2, 2069, 4138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4138: a semiprime: 2 × 2069, the product of two primes.
- 2
4138 is composite. Its prime factorisation is
- 3
The divisors add up to 6210; without 4138 itself that is 2072, so 4138 is deficient (2072 is less than 4138). Euler's totient φ(4138) = 2068 numbers up to 4138 share no factor with it.
- 4
The digits of 4138 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4138 = 2 \times 2069 \]
4138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6210 |
| Euler totient φ(n) | 2068 |
| Square | 17123044 |
| Cube | 70855156072 |
| Square root | 64.327288 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.138 × |
4138 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and thirty-eight |
| Binary (base 2) | 1000000101010 |
| Octal (base 8) | 10052 |
| Hexadecimal (base 16) | 102A |
| Base 3 | 12200021 |
| As time | 4138 seconds = 1 h 8 min 58 s |
Is 4138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4138 ÷ 2 = 2069) | 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 2) | 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 4) | 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 2) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4138 a prime number?
No. 4138 = 2 × 2069, so it is divisible by 2.
What are the factors of 4138?
1, 2, 2069, 4138.
What is 4138 in binary?
1000000101010 (hexadecimal 102A, octal 10052).
What is the square root of 4138?
About 64.3273.
Is 4138 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4138?
4138 is a semiprime: 2 × 2069, the product of two primes.