The number 33887
33887 is a composite number with 8 divisors. Its prime factorisation is 7 × 47 × 103. Divisors (8): 1, 7, 47, 103, 329, 721, 4841, 33887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33887 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33887 is composite. Its prime factorisation is
- 3
The divisors add up to 39936; without 33887 itself that is 6049, so 33887 is deficient (6049 is less than 33887). Euler's totient φ(33887) = 28152 numbers up to 33887 share no factor with it.
- 4
The digits of 33887 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33887 = 7 \times 47 \times 103 \]
33887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39936 |
| Euler totient φ(n) | 28152 |
| Square | 1148328769 |
| Cube | 38913416995103 |
| Square root | 184.084220 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3887 × |
33887 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and eighty-seven |
| Binary (base 2) | 1000010001011111 |
| Octal (base 8) | 102137 |
| Hexadecimal (base 16) | 845F |
| Base 3 | 1201111002 |
| As time | 33887 seconds = 9 h 24 min 47 s |
Is 33887 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 (33887 ÷ 7 = 4841) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 7) | 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 33887 a prime number?
No. 33887 = 7 × 47 × 103, so it is divisible by 7.
What are the factors of 33887?
1, 7, 47, 103, 329, 721, 4841, 33887.
What is 33887 in binary?
1000010001011111 (hexadecimal 845F, octal 102137).
What is the square root of 33887?
About 184.0842.
Is 33887 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33887?
It is a composite number with 8 divisors.