The number 83998
83998 is a composite number with 4 divisors. Its prime factorisation is 2 × 41999. Divisors (4): 1, 2, 41999, 83998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83998: a semiprime: 2 × 41999, the product of two primes.
- 2
83998 is composite. Its prime factorisation is
- 3
The divisors add up to 126000; without 83998 itself that is 42002, so 83998 is deficient (42002 is less than 83998). Euler's totient φ(83998) = 41998 numbers up to 83998 share no factor with it.
- 4
The digits of 83998 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83998 = 2 \times 41999 \]
83998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 126000 |
| Euler totient φ(n) | 41998 |
| Square | 7055664004 |
| Cube | 592661665007992 |
| Square root | 289.824085 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3998 × |
83998 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand nine hundred and ninety-eight |
| Binary (base 2) | 10100100000011110 |
| Octal (base 8) | 244036 |
| Hexadecimal (base 16) | 1481E |
| Base 3 | 11021020001 |
| As time | 83998 seconds = 23 h 19 min 58 s |
Is 83998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83998 ÷ 2 = 41999) | 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 5) | 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 2) | 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 83998 a prime number?
No. 83998 = 2 × 41999, so it is divisible by 2.
What are the factors of 83998?
1, 2, 41999, 83998.
What is 83998 in binary?
10100100000011110 (hexadecimal 1481E, octal 244036).
What is the square root of 83998?
About 289.8241.
Is 83998 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 83998?
83998 is a semiprime: 2 × 41999, the product of two primes.