The number 6138
6138 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 31. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198 … 6138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6138: a Harshad number: divisible by its digit sum 18.
- 2
6138 is composite. Its prime factorisation is
- 3
The divisors add up to 14976; without 6138 itself that is 8838, so 6138 is abundant (8838 is more than 6138). Euler's totient φ(6138) = 1800 numbers up to 6138 share no factor with it.
- 4
The digits of 6138 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6138 = 2 \times 3^{2} \times 11 \times 31 \]6138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14976 |
| Euler totient φ(n) | 1800 |
| Square | 37675044 |
| Cube | 231249420072 |
| Square root | 78.345389 (= 3√682) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.138 × |
6138 in other forms
| Form | Value |
|---|---|
| In words | six thousand one hundred and thirty-eight |
| Binary (base 2) | 1011111111010 |
| Octal (base 8) | 13772 |
| Hexadecimal (base 16) | 17FA |
| Base 3 | 22102100 |
| As time | 6138 seconds = 1 h 42 min 18 s |
Is 6138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6138 ÷ 2 = 3069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6138 ÷ 3 = 2046) | 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 | Yes (6138 ÷ 6 = 1023) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (6138 ÷ 9 = 682) | 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 | Yes (6138 ÷ 11 = 558) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6138 a prime number?
No. 6138 = 2 × × 11 × 31, so it is divisible by 2.
What are the factors of 6138?
1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138.
What is 6138 in binary?
1011111111010 (hexadecimal 17FA, octal 13772).
What is the square root of 6138?
About 78.3454, exactly 3√682.
Is 6138 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6138?
6138 is a Harshad number: divisible by its digit sum 18.