The number 33985
33985 is a composite number with 8 divisors. Its prime factorisation is 5 × 7 × 971. Divisors (8): 1, 5, 7, 35, 971, 4855, 6797, 33985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33985: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33985 is composite. Its prime factorisation is
- 3
The divisors add up to 46656; without 33985 itself that is 12671, so 33985 is deficient (12671 is less than 33985). Euler's totient φ(33985) = 23280 numbers up to 33985 share no factor with it.
- 4
The digits of 33985 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33985 = 5 \times 7 \times 971 \]
33985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46656 |
| Euler totient φ(n) | 23280 |
| Square | 1154980225 |
| Cube | 39252002946625 |
| Square root | 184.350210 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3985 × |
33985 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and eighty-five |
| Binary (base 2) | 1000010011000001 |
| Octal (base 8) | 102301 |
| Hexadecimal (base 16) | 84C1 |
| Base 3 | 1201121201 |
| As time | 33985 seconds = 9 h 26 min 25 s |
Is 33985 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 1) | 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 | Yes (33985 ÷ 5 = 6797) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33985 ÷ 7 = 4855) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33985 a prime number?
No. 33985 = 5 × 7 × 971, so it is divisible by 5.
What are the factors of 33985?
1, 5, 7, 35, 971, 4855, 6797, 33985.
What is 33985 in binary?
1000010011000001 (hexadecimal 84C1, octal 102301).
What is the square root of 33985?
About 184.3502.
Is 33985 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33985?
33985 is a happy number: repeatedly adding the squares of its digits reaches 1.