The number 71998
71998 is a composite number with 4 divisors. Its prime factorisation is 2 × 35999. Divisors (4): 1, 2, 35999, 71998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71998: a semiprime: 2 × 35999, the product of two primes.
- 2
71998 is composite. Its prime factorisation is
- 3
The divisors add up to 108000; without 71998 itself that is 36002, so 71998 is deficient (36002 is less than 71998). Euler's totient φ(71998) = 35998 numbers up to 71998 share no factor with it.
- 4
The digits of 71998 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71998 = 2 \times 35999 \]
71998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 108000 |
| Euler totient φ(n) | 35998 |
| Square | 5183712004 |
| Cube | 373216896863992 |
| Square root | 268.324430 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1998 × |
71998 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand nine hundred and ninety-eight |
| Binary (base 2) | 10001100100111110 |
| Octal (base 8) | 214476 |
| Hexadecimal (base 16) | 1193E |
| Base 3 | 10122202121 |
| As time | 71998 seconds = 19 h 59 min 58 s |
Is 71998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71998 ÷ 2 = 35999) | 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 3) | 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 7) | 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 71998 a prime number?
No. 71998 = 2 × 35999, so it is divisible by 2.
What are the factors of 71998?
1, 2, 35999, 71998.
What is 71998 in binary?
10001100100111110 (hexadecimal 1193E, octal 214476).
What is the square root of 71998?
About 268.3244.
Is 71998 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 71998?
71998 is a semiprime: 2 × 35999, the product of two primes.