The number 7138
7138 is a composite number with 8 divisors. Its prime factorisation is 2 × 43 × 83. Divisors (8): 1, 2, 43, 83, 86, 166, 3569, 7138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7138 is composite. Its prime factorisation is
- 3
The divisors add up to 11088; without 7138 itself that is 3950, so 7138 is deficient (3950 is less than 7138). Euler's totient φ(7138) = 3444 numbers up to 7138 share no factor with it.
- 4
The digits of 7138 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7138 = 2 \times 43 \times 83 \]
7138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11088 |
| Euler totient φ(n) | 3444 |
| Square | 50951044 |
| Cube | 363688552072 |
| Square root | 84.486685 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.138 × |
7138 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and thirty-eight |
| Binary (base 2) | 1101111100010 |
| Octal (base 8) | 15742 |
| Hexadecimal (base 16) | 1BE2 |
| Base 3 | 100210101 |
| As time | 7138 seconds = 1 h 58 min 58 s |
Is 7138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7138 ÷ 2 = 3569) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 7138 a prime number?
No. 7138 = 2 × 43 × 83, so it is divisible by 2.
What are the factors of 7138?
1, 2, 43, 83, 86, 166, 3569, 7138.
What is 7138 in binary?
1101111100010 (hexadecimal 1BE2, octal 15742).
What is the square root of 7138?
About 84.4867.
Is 7138 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7138?
It is a composite number with 8 divisors.