The number 33121
33121 is a composite number with 4 divisors. Its prime factorisation is 11 × 3011. Divisors (4): 1, 11, 3011, 33121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33121: a semiprime: 11 × 3011, the product of two primes.
- 2
33121 is composite. Its prime factorisation is
- 3
The divisors add up to 36144; without 33121 itself that is 3023, so 33121 is deficient (3023 is less than 33121). Euler's totient φ(33121) = 30100 numbers up to 33121 share no factor with it.
- 4
The digits of 33121 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33121 = 11 \times 3011 \]
33121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36144 |
| Euler totient φ(n) | 30100 |
| Square | 1097000641 |
| Cube | 36333758230561 |
| Square root | 181.991758 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3121 × |
33121 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and twenty-one |
| Binary (base 2) | 1000000101100001 |
| Octal (base 8) | 100541 |
| Hexadecimal (base 16) | 8161 |
| Base 3 | 1200102201 |
| As time | 33121 seconds = 9 h 12 min 1 s |
Is 33121 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 4) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33121 ÷ 11 = 3011) | 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 33121 a prime number?
No. 33121 = 11 × 3011, so it is divisible by 11.
What are the factors of 33121?
1, 11, 3011, 33121.
What is 33121 in binary?
1000000101100001 (hexadecimal 8161, octal 100541).
What is the square root of 33121?
About 181.9918.
Is 33121 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33121?
33121 is a semiprime: 11 × 3011, the product of two primes.