The number 38983
38983 is a palindrome: it reads 38983 backwards too. Its prime factorisation is 7 × 5569. Divisors (4): 1, 7, 5569, 38983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38983: a palindrome: it reads 38983 backwards too; a semiprime: 7 × 5569, the product of two primes.
- 2
38983 is composite. Its prime factorisation is
- 3
The divisors add up to 44560; without 38983 itself that is 5577, so 38983 is deficient (5577 is less than 38983). Euler's totient φ(38983) = 33408 numbers up to 38983 share no factor with it.
- 4
The digits of 38983 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38983 = 7 \times 5569 \]
38983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 44560 |
| Euler totient φ(n) | 33408 |
| Square | 1519674289 |
| Cube | 59241462808087 |
| Square root | 197.441130 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.8983 × |
38983 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and eighty-three |
| Binary (base 2) | 1001100001000111 |
| Octal (base 8) | 114107 |
| Hexadecimal (base 16) | 9847 |
| Base 3 | 1222110211 |
| As time | 38983 seconds = 10 h 49 min 43 s |
Is 38983 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (38983 ÷ 7 = 5569) | 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 7) | 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 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38983 a prime number?
No. 38983 = 7 × 5569, so it is divisible by 7.
What are the factors of 38983?
1, 7, 5569, 38983.
What is 38983 in binary?
1001100001000111 (hexadecimal 9847, octal 114107).
What is the square root of 38983?
About 197.4411.
Is 38983 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 38983?
38983 is a palindrome: it reads 38983 backwards too; a semiprime: 7 × 5569, the product of two primes.