The number 31330
31330 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 241. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 241, 482, 1205, 2410, 3133, 6266, 15665, 31330.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31330: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
31330 is composite. Its prime factorisation is
- 3
The divisors add up to 60984; without 31330 itself that is 29654, so 31330 is deficient (29654 is less than 31330). Euler's totient φ(31330) = 11520 numbers up to 31330 share no factor with it.
- 4
The digits of 31330 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31330 = 2 \times 5 \times 13 \times 241 \]
31330 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60984 |
| Euler totient φ(n) | 11520 |
| Square | 981568900 |
| Cube | 30752553637000 |
| Square root | 177.002825 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.133 × |
31330 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty |
| Binary (base 2) | 111101001100010 |
| Octal (base 8) | 75142 |
| Hexadecimal (base 16) | 7A62 |
| Base 3 | 1120222101 |
| As time | 31330 seconds = 8 h 42 min 10 s |
Is 31330 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31330 ÷ 2 = 15665) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31330 ÷ 5 = 6266) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 | Yes (31330 ÷ 10 = 3133) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31330 a prime number?
No. 31330 = 2 × 5 × 13 × 241, so it is divisible by 2.
What are the factors of 31330?
1, 2, 5, 10, 13, 26, 65, 130, 241, 482, 1205, 2410, 3133, 6266, 15665, 31330.
What is 31330 in binary?
111101001100010 (hexadecimal 7A62, octal 75142).
What is the square root of 31330?
About 177.0028.
Is 31330 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31330?
31330 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.