The number 31700
31700 is a composite number with 18 divisors. Its prime factorisation is × × 317. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 317, 634, 1268, 1585, 3170, 6340, 7925 … 31700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31700 is composite. Its prime factorisation is
- 3
The divisors add up to 69006; without 31700 itself that is 37306, so 31700 is abundant (37306 is more than 31700). Euler's totient φ(31700) = 12640 numbers up to 31700 share no factor with it.
- 4
The digits of 31700 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31700 = 2^{2} \times 5^{2} \times 317 \]31700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 69006 |
| Euler totient φ(n) | 12640 |
| Square | 1004890000 |
| Cube | 31855013000000 |
| Square root | 178.044938 (= 10√317) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.17 × |
31700 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred |
| Binary (base 2) | 111101111010100 |
| Octal (base 8) | 75724 |
| Hexadecimal (base 16) | 7BD4 |
| Base 3 | 1121111002 |
| As time | 31700 seconds = 8 h 48 min 20 s |
Is 31700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31700 ÷ 2 = 15850) | 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 | Yes (31700 ÷ 4 = 7925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31700 ÷ 5 = 6340) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31700 ÷ 10 = 3170) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31700 a prime number?
No. 31700 = × × 317, so it is divisible by 2.
What are the factors of 31700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 317, 634, 1268, 1585, 3170, 6340, 7925, 15850, 31700.
What is 31700 in binary?
111101111010100 (hexadecimal 7BD4, octal 75724).
What is the square root of 31700?
About 178.0449, exactly 10√317.
Is 31700 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31700?
It is a composite number with 18 divisors.