The number 31334
31334 is a composite number with 4 divisors. Its prime factorisation is 2 × 15667. Divisors (4): 1, 2, 15667, 31334.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31334: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15667, the product of two primes.
- 2
31334 is composite. Its prime factorisation is
- 3
The divisors add up to 47004; without 31334 itself that is 15670, so 31334 is deficient (15670 is less than 31334). Euler's totient φ(31334) = 15666 numbers up to 31334 share no factor with it.
- 4
The digits of 31334 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31334 = 2 \times 15667 \]
31334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 47004 |
| Euler totient φ(n) | 15666 |
| Square | 981819556 |
| Cube | 30764333967704 |
| Square root | 177.014124 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.1334 × |
31334 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-four |
| Binary (base 2) | 111101001100110 |
| Octal (base 8) | 75146 |
| Hexadecimal (base 16) | 7A66 |
| Base 3 | 1120222112 |
| As time | 31334 seconds = 8 h 42 min 14 s |
Is 31334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31334 ÷ 2 = 15667) | 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 4) | 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 2) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31334 a prime number?
No. 31334 = 2 × 15667, so it is divisible by 2.
What are the factors of 31334?
1, 2, 15667, 31334.
What is 31334 in binary?
111101001100110 (hexadecimal 7A66, octal 75146).
What is the square root of 31334?
About 177.0141.
Is 31334 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 31334?
31334 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 15667, the product of two primes.