The number 35988
35988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2999. Divisors (12): 1, 2, 3, 4, 6, 12, 2999, 5998, 8997, 11996, 17994, 35988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35988 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 35988 itself that is 48012, so 35988 is abundant (48012 is more than 35988). Euler's totient φ(35988) = 11992 numbers up to 35988 share no factor with it.
- 4
The digits of 35988 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35988 = 2^{2} \times 3 \times 2999 \]35988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 11992 |
| Square | 1295136144 |
| Cube | 46609359550272 |
| Square root | 189.705034 (= 2√8997) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.5988 × |
35988 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and eighty-eight |
| Binary (base 2) | 1000110010010100 |
| Octal (base 8) | 106224 |
| Hexadecimal (base 16) | 8C94 |
| Base 3 | 1211100220 |
| As time | 35988 seconds = 9 h 59 min 48 s |
Is 35988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35988 ÷ 2 = 17994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35988 ÷ 3 = 11996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35988 ÷ 4 = 8997) | 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 | Yes (35988 ÷ 6 = 5998) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35988 ÷ 12 = 2999) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35988 a prime number?
No. 35988 = × 3 × 2999, so it is divisible by 2.
What are the factors of 35988?
1, 2, 3, 4, 6, 12, 2999, 5998, 8997, 11996, 17994, 35988.
What is 35988 in binary?
1000110010010100 (hexadecimal 8C94, octal 106224).
What is the square root of 35988?
About 189.7050, exactly 2√8997.
Is 35988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 35988?
It is a composite number with 12 divisors.