The number 31303
31303 is a composite number with 4 divisors. Its prime factorisation is 23 × 1361. Divisors (4): 1, 23, 1361, 31303.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31303: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1361, the product of two primes.
- 2
31303 is composite. Its prime factorisation is
- 3
The divisors add up to 32688; without 31303 itself that is 1385, so 31303 is deficient (1385 is less than 31303). Euler's totient φ(31303) = 29920 numbers up to 31303 share no factor with it.
- 4
The digits of 31303 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31303 = 23 \times 1361 \]
31303 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 32688 |
| Euler totient φ(n) | 29920 |
| Square | 979877809 |
| Cube | 30673115055127 |
| Square root | 176.926538 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1303 × |
31303 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and three |
| Binary (base 2) | 111101001000111 |
| Octal (base 8) | 75107 |
| Hexadecimal (base 16) | 7A47 |
| Base 3 | 1120221101 |
| As time | 31303 seconds = 8 h 41 min 43 s |
Is 31303 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 3) | 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 1) | 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 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31303 a prime number?
No. 31303 = 23 × 1361, so it is divisible by 23.
What are the factors of 31303?
1, 23, 1361, 31303.
What is 31303 in binary?
111101001000111 (hexadecimal 7A47, octal 75107).
What is the square root of 31303?
About 176.9265.
Is 31303 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31303?
31303 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 1361, the product of two primes.