The number 33661
33661 is a composite number with 4 divisors. Its prime factorisation is 41 × 821. Divisors (4): 1, 41, 821, 33661.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33661: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 821, the product of two primes.
- 2
33661 is composite. Its prime factorisation is
- 3
The divisors add up to 34524; without 33661 itself that is 863, so 33661 is deficient (863 is less than 33661). Euler's totient φ(33661) = 32800 numbers up to 33661 share no factor with it.
- 4
The digits of 33661 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33661 = 41 \times 821 \]
33661 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34524 |
| Euler totient φ(n) | 32800 |
| Square | 1133062921 |
| Cube | 38140030983781 |
| Square root | 183.469343 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3661 × |
33661 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand six hundred and sixty-one |
| Binary (base 2) | 1000001101111101 |
| Octal (base 8) | 101575 |
| Hexadecimal (base 16) | 837D |
| Base 3 | 1201011201 |
| As time | 33661 seconds = 9 h 21 min 1 s |
Is 33661 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 | No (remainder 1) | 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 | No (remainder 5) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 33661 a prime number?
No. 33661 = 41 × 821, so it is divisible by 41.
What are the factors of 33661?
1, 41, 821, 33661.
What is 33661 in binary?
1000001101111101 (hexadecimal 837D, octal 101575).
What is the square root of 33661?
About 183.4693.
Is 33661 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33661?
33661 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 821, the product of two primes.