The number 31697
31697 is a composite number with 4 divisors. Its prime factorisation is 29 × 1093. Divisors (4): 1, 29, 1093, 31697.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31697: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1093, the product of two primes.
- 2
31697 is composite. Its prime factorisation is
- 3
The divisors add up to 32820; without 31697 itself that is 1123, so 31697 is deficient (1123 is less than 31697). Euler's totient φ(31697) = 30576 numbers up to 31697 share no factor with it.
- 4
The digits of 31697 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31697 = 29 \times 1093 \]
31697 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 32820 |
| Euler totient φ(n) | 30576 |
| Square | 1004699809 |
| Cube | 31845969845873 |
| Square root | 178.036513 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1697 × |
31697 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand six hundred and ninety-seven |
| Binary (base 2) | 111101111010001 |
| Octal (base 8) | 75721 |
| Hexadecimal (base 16) | 7BD1 |
| Base 3 | 1121110222 |
| As time | 31697 seconds = 8 h 48 min 17 s |
Is 31697 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 2) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31697 a prime number?
No. 31697 = 29 × 1093, so it is divisible by 29.
What are the factors of 31697?
1, 29, 1093, 31697.
What is 31697 in binary?
111101111010001 (hexadecimal 7BD1, octal 75721).
What is the square root of 31697?
About 178.0365.
Is 31697 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 31697?
31697 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1093, the product of two primes.