The number 35997
35997 is a composite number with 12 divisors. Its prime factorisation is 3 × × 71. Divisors (12): 1, 3, 13, 39, 71, 169, 213, 507, 923, 2769, 11999, 35997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35997 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 35997 itself that is 16707, so 35997 is deficient (16707 is less than 35997). Euler's totient φ(35997) = 21840 numbers up to 35997 share no factor with it.
- 4
The digits of 35997 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35997 = 3 \times 13^{2} \times 71 \]35997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 21840 |
| Square | 1295784009 |
| Cube | 46644336971973 |
| Square root | 189.728754 (= 13√213) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.5997 × |
35997 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and ninety-seven |
| Binary (base 2) | 1000110010011101 |
| Octal (base 8) | 106235 |
| Hexadecimal (base 16) | 8C9D |
| Base 3 | 1211101020 |
| As time | 35997 seconds = 9 h 59 min 57 s |
Is 35997 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 | Yes (35997 ÷ 3 = 11999) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35997 a prime number?
No. 35997 = 3 × × 71, so it is divisible by 3.
What are the factors of 35997?
1, 3, 13, 39, 71, 169, 213, 507, 923, 2769, 11999, 35997.
What is 35997 in binary?
1000110010011101 (hexadecimal 8C9D, octal 106235).
What is the square root of 35997?
About 189.7288, exactly 13√213.
Is 35997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 35997?
It is a composite number with 12 divisors.