The number 35987
35987 is a composite number with 8 divisors. Its prime factorisation is 7 × 53 × 97. Divisors (8): 1, 7, 53, 97, 371, 679, 5141, 35987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35987 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35987 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 35987 itself that is 6349, so 35987 is deficient (6349 is less than 35987). Euler's totient φ(35987) = 29952 numbers up to 35987 share no factor with it.
- 4
The digits of 35987 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35987 = 7 \times 53 \times 97 \]
35987 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 29952 |
| Square | 1295064169 |
| Cube | 46605474249803 |
| Square root | 189.702399 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.5987 × |
35987 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and eighty-seven |
| Binary (base 2) | 1000110010010011 |
| Octal (base 8) | 106223 |
| Hexadecimal (base 16) | 8C93 |
| Base 3 | 1211100212 |
| As time | 35987 seconds = 9 h 59 min 47 s |
Is 35987 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (35987 ÷ 7 = 5141) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35987 a prime number?
No. 35987 = 7 × 53 × 97, so it is divisible by 7.
What are the factors of 35987?
1, 7, 53, 97, 371, 679, 5141, 35987.
What is 35987 in binary?
1000110010010011 (hexadecimal 8C93, octal 106223).
What is the square root of 35987?
About 189.7024.
Is 35987 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 35987?
It is a composite number with 8 divisors.