The number 35998
35998 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 439. Divisors (8): 1, 2, 41, 82, 439, 878, 17999, 35998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35998 is composite. Its prime factorisation is
- 3
The divisors add up to 55440; without 35998 itself that is 19442, so 35998 is deficient (19442 is less than 35998). Euler's totient φ(35998) = 17520 numbers up to 35998 share no factor with it.
- 4
The digits of 35998 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 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35998 = 2 \times 41 \times 439 \]
35998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55440 |
| Euler totient φ(n) | 17520 |
| Square | 1295856004 |
| Cube | 46648224431992 |
| Square root | 189.731389 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.5998 × |
35998 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and ninety-eight |
| Binary (base 2) | 1000110010011110 |
| Octal (base 8) | 106236 |
| Hexadecimal (base 16) | 8C9E |
| Base 3 | 1211101021 |
| As time | 35998 seconds = 9 h 59 min 58 s |
Is 35998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35998 ÷ 2 = 17999) | 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 4) | 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 6) | 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 35998 a prime number?
No. 35998 = 2 × 41 × 439, so it is divisible by 2.
What are the factors of 35998?
1, 2, 41, 82, 439, 878, 17999, 35998.
What is 35998 in binary?
1000110010011110 (hexadecimal 8C9E, octal 106236).
What is the square root of 35998?
About 189.7314.
Is 35998 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 35998?
It is a composite number with 8 divisors.