The number 31339
31339 is a composite number with 12 divisors. Its prime factorisation is 7 × × 37. Divisors (12): 1, 7, 11, 37, 77, 121, 259, 407, 847, 2849, 4477, 31339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31339: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31339 is composite. Its prime factorisation is
- 3
The divisors add up to 40432; without 31339 itself that is 9093, so 31339 is deficient (9093 is less than 31339). Euler's totient φ(31339) = 23760 numbers up to 31339 share no factor with it.
- 4
The digits of 31339 add up to 19, 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
\[ 31339 = 7 \times 11^{2} \times 37 \]31339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40432 |
| Euler totient φ(n) | 23760 |
| Square | 982132921 |
| Cube | 30779063611219 |
| Square root | 177.028246 (= 11√259) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1339 × |
31339 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and thirty-nine |
| Binary (base 2) | 111101001101011 |
| Octal (base 8) | 75153 |
| Hexadecimal (base 16) | 7A6B |
| Base 3 | 1120222201 |
| As time | 31339 seconds = 8 h 42 min 19 s |
Is 31339 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 4) | 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 | Yes (31339 ÷ 7 = 4477) | 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 3) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31339 ÷ 11 = 2849) | 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 31339 a prime number?
No. 31339 = 7 × × 37, so it is divisible by 7.
What are the factors of 31339?
1, 7, 11, 37, 77, 121, 259, 407, 847, 2849, 4477, 31339.
What is 31339 in binary?
111101001101011 (hexadecimal 7A6B, octal 75153).
What is the square root of 31339?
About 177.0282, exactly 11√259.
Is 31339 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31339?
31339 is a happy number: repeatedly adding the squares of its digits reaches 1.