The number 31093
31093 is a composite number with 8 divisors. Its prime factorisation is 17 × 31 × 59. Divisors (8): 1, 17, 31, 59, 527, 1003, 1829, 31093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31093: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31093 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 31093 itself that is 3467, so 31093 is deficient (3467 is less than 31093). Euler's totient φ(31093) = 27840 numbers up to 31093 share no factor with it.
- 4
The digits of 31093 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31093 = 17 \times 31 \times 59 \]
31093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 27840 |
| Square | 966774649 |
| Cube | 30059924161357 |
| Square root | 176.332073 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1093 × |
31093 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and ninety-three |
| Binary (base 2) | 111100101110101 |
| Octal (base 8) | 74565 |
| Hexadecimal (base 16) | 7975 |
| Base 3 | 1120122121 |
| As time | 31093 seconds = 8 h 38 min 13 s |
Is 31093 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31093 a prime number?
No. 31093 = 17 × 31 × 59, so it is divisible by 17.
What are the factors of 31093?
1, 17, 31, 59, 527, 1003, 1829, 31093.
What is 31093 in binary?
111100101110101 (hexadecimal 7975, octal 74565).
What is the square root of 31093?
About 176.3321.
Is 31093 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31093?
31093 is a happy number: repeatedly adding the squares of its digits reaches 1.