The number 33662
33662 is a composite number with 4 divisors. Its prime factorisation is 2 × 16831. Divisors (4): 1, 2, 16831, 33662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33662: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16831, the product of two primes.
- 2
33662 is composite. Its prime factorisation is
- 3
The divisors add up to 50496; without 33662 itself that is 16834, so 33662 is deficient (16834 is less than 33662). Euler's totient φ(33662) = 16830 numbers up to 33662 share no factor with it.
- 4
The digits of 33662 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33662 = 2 \times 16831 \]
33662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50496 |
| Euler totient φ(n) | 16830 |
| Square | 1133130244 |
| Cube | 38143430273528 |
| Square root | 183.472069 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3662 × |
33662 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and sixty-two |
| Binary (base 2) | 1000001101111110 |
| Octal (base 8) | 101576 |
| Hexadecimal (base 16) | 837E |
| Base 3 | 1201011202 |
| As time | 33662 seconds = 9 h 21 min 2 s |
Is 33662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33662 ÷ 2 = 16831) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33662 a prime number?
No. 33662 = 2 × 16831, so it is divisible by 2.
What are the factors of 33662?
1, 2, 16831, 33662.
What is 33662 in binary?
1000001101111110 (hexadecimal 837E, octal 101576).
What is the square root of 33662?
About 183.4721.
Is 33662 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33662?
33662 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 16831, the product of two primes.