The number 38998
38998 is a composite number with 16 divisors. Its prime factorisation is 2 × 17 × 31 × 37. Divisors (16): 1, 2, 17, 31, 34, 37, 62, 74, 527, 629, 1054, 1147, 1258, 2294, 19499, 38998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38998: a Harshad number: divisible by its digit sum 37.
- 2
38998 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 38998 itself that is 26666, so 38998 is deficient (26666 is less than 38998). Euler's totient φ(38998) = 17280 numbers up to 38998 share no factor with it.
- 4
The digits of 38998 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38998 = 2 \times 17 \times 31 \times 37 \]
38998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 17280 |
| Square | 1520844004 |
| Cube | 59309874467992 |
| Square root | 197.479113 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8998 × |
38998 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and ninety-eight |
| Binary (base 2) | 1001100001010110 |
| Octal (base 8) | 114126 |
| Hexadecimal (base 16) | 9856 |
| Base 3 | 1222111101 |
| As time | 38998 seconds = 10 h 49 min 58 s |
Is 38998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38998 ÷ 2 = 19499) | 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 1) | 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 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 3) | 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 38998 a prime number?
No. 38998 = 2 × 17 × 31 × 37, so it is divisible by 2.
What are the factors of 38998?
1, 2, 17, 31, 34, 37, 62, 74, 527, 629, 1054, 1147, 1258, 2294, 19499, 38998.
What is 38998 in binary?
1001100001010110 (hexadecimal 9856, octal 114126).
What is the square root of 38998?
About 197.4791.
Is 38998 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 38998?
38998 is a Harshad number: divisible by its digit sum 37.