The number 38003
38003 is a composite number with 8 divisors. Its prime factorisation is 7 × 61 × 89. Divisors (8): 1, 7, 61, 89, 427, 623, 5429, 38003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38003: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38003 is composite. Its prime factorisation is
- 3
The divisors add up to 44640; without 38003 itself that is 6637, so 38003 is deficient (6637 is less than 38003). Euler's totient φ(38003) = 31680 numbers up to 38003 share no factor with it.
- 4
The digits of 38003 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38003 = 7 \times 61 \times 89 \]
38003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44640 |
| Euler totient φ(n) | 31680 |
| Square | 1444228009 |
| Cube | 54884997026027 |
| Square root | 194.943582 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8003 × |
38003 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and three |
| Binary (base 2) | 1001010001110011 |
| Octal (base 8) | 112163 |
| Hexadecimal (base 16) | 9473 |
| Base 3 | 1221010112 |
| As time | 38003 seconds = 10 h 33 min 23 s |
Is 38003 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38003 ÷ 7 = 5429) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38003 a prime number?
No. 38003 = 7 × 61 × 89, so it is divisible by 7.
What are the factors of 38003?
1, 7, 61, 89, 427, 623, 5429, 38003.
What is 38003 in binary?
1001010001110011 (hexadecimal 9473, octal 112163).
What is the square root of 38003?
About 194.9436.
Is 38003 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 38003?
38003 is a happy number: repeatedly adding the squares of its digits reaches 1.