The number 32313
32313 is a composite number with 4 divisors. Its prime factorisation is 3 × 10771. Divisors (4): 1, 3, 10771, 32313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32313: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 10771, the product of two primes.
- 2
32313 is composite. Its prime factorisation is
- 3
The divisors add up to 43088; without 32313 itself that is 10775, so 32313 is deficient (10775 is less than 32313). Euler's totient φ(32313) = 21540 numbers up to 32313 share no factor with it.
- 4
The digits of 32313 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 253 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32313 = 3 \times 10771 \]
32313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43088 |
| Euler totient φ(n) | 21540 |
| Square | 1044129969 |
| Cube | 33738971688297 |
| Square root | 179.758171 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 253 |
| Scientific notation | 3.2313 × |
32313 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and thirteen |
| Binary (base 2) | 111111000111001 |
| Octal (base 8) | 77071 |
| Hexadecimal (base 16) | 7E39 |
| Base 3 | 1122022210 |
| As time | 32313 seconds = 8 h 58 min 33 s |
Is 32313 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 | Yes (32313 ÷ 3 = 10771) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32313 a prime number?
No. 32313 = 3 × 10771, so it is divisible by 3.
What are the factors of 32313?
1, 3, 10771, 32313.
What is 32313 in binary?
111111000111001 (hexadecimal 7E39, octal 77071).
What is the square root of 32313?
About 179.7582.
Is 32313 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32313?
32313 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 10771, the product of two primes.