The number 10138
10138 is a composite number with 8 divisors. Its prime factorisation is 2 × 37 × 137. Divisors (8): 1, 2, 37, 74, 137, 274, 5069, 10138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10138 is composite. Its prime factorisation is
- 3
The divisors add up to 15732; without 10138 itself that is 5594, so 10138 is deficient (5594 is less than 10138). Euler's totient φ(10138) = 4896 numbers up to 10138 share no factor with it.
- 4
The digits of 10138 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10138 = 2 \times 37 \times 137 \]
10138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15732 |
| Euler totient φ(n) | 4896 |
| Square | 102779044 |
| Cube | 1041973948072 |
| Square root | 100.687636 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 34 |
| Scientific notation | 1.0138 × |
10138 in other forms
| Form | Value |
|---|---|
| In words | ten thousand one hundred and thirty-eight |
| Binary (base 2) | 10011110011010 |
| Octal (base 8) | 23632 |
| Hexadecimal (base 16) | 279A |
| Base 3 | 111220111 |
| As time | 10138 seconds = 2 h 48 min 58 s |
Is 10138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10138 ÷ 2 = 5069) | 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 2) | 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 4) | 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 7) | 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 10138 a prime number?
No. 10138 = 2 × 37 × 137, so it is divisible by 2.
What are the factors of 10138?
1, 2, 37, 74, 137, 274, 5069, 10138.
What is 10138 in binary?
10011110011010 (hexadecimal 279A, octal 23632).
What is the square root of 10138?
About 100.6876.
Is 10138 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10138?
It is a composite number with 8 divisors.