The number 33431
33431 is a composite number with 4 divisors. Its prime factorisation is 101 × 331. Divisors (4): 1, 101, 331, 33431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33431: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 101 × 331, the product of two primes.
- 2
33431 is composite. Its prime factorisation is
- 3
The divisors add up to 33864; without 33431 itself that is 433, so 33431 is deficient (433 is less than 33431). Euler's totient φ(33431) = 33000 numbers up to 33431 share no factor with it.
- 4
The digits of 33431 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33431 = 101 \times 331 \]
33431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33864 |
| Euler totient φ(n) | 33000 |
| Square | 1117631761 |
| Cube | 37363547401991 |
| Square root | 182.841461 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3431 × |
33431 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and thirty-one |
| Binary (base 2) | 1000001010010111 |
| Octal (base 8) | 101227 |
| Hexadecimal (base 16) | 8297 |
| Base 3 | 1200212012 |
| As time | 33431 seconds = 9 h 17 min 11 s |
Is 33431 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 1) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 2) | 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 33431 a prime number?
No. 33431 = 101 × 331, so it is divisible by 101.
What are the factors of 33431?
1, 101, 331, 33431.
What is 33431 in binary?
1000001010010111 (hexadecimal 8297, octal 101227).
What is the square root of 33431?
About 182.8415.
Is 33431 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 33431?
33431 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 101 × 331, the product of two primes.