The number 10038
10038 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 239. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10038 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10038 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 10038 itself that is 13002, so 10038 is abundant (13002 is more than 10038). Euler's totient φ(10038) = 2856 numbers up to 10038 share no factor with it.
- 4
The digits of 10038 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10038 = 2 \times 3 \times 7 \times 239 \]
10038 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 2856 |
| Square | 100761444 |
| Cube | 1011443374872 |
| Square root | 100.189820 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.0038 × |
10038 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and thirty-eight |
| Binary (base 2) | 10011100110110 |
| Octal (base 8) | 23466 |
| Hexadecimal (base 16) | 2736 |
| Base 3 | 111202210 |
| As time | 10038 seconds = 2 h 47 min 18 s |
Is 10038 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10038 ÷ 2 = 5019) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10038 ÷ 3 = 3346) | 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 (10038 ÷ 6 = 1673) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10038 ÷ 7 = 1434) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | 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 10038 a prime number?
No. 10038 = 2 × 3 × 7 × 239, so it is divisible by 2.
What are the factors of 10038?
1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038.
What is 10038 in binary?
10011100110110 (hexadecimal 2736, octal 23466).
What is the square root of 10038?
About 100.1898.
Is 10038 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10038?
It is a composite number with 16 divisors.