The number 31409
31409 is a composite number with 6 divisors. Its prime factorisation is Ć 641. Divisors (6): 1, 7, 49, 641, 4487, 31409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31409 is composite. Its prime factorisation is
- 3
The divisors add up to 36594; without 31409 itself that is 5185, so 31409 is deficient (5185 is less than 31409). Euler's totient Ļ(31409) = 26880 numbers up to 31409 share no factor with it.
- 4
The digits of 31409 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31409 = 7^{2} \times 641 \]31409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 36594 |
| Euler totient Ļ(n) | 26880 |
| Square | 986525281 |
| Cube | 30985772550929 |
| Square root | 177.225845 (= 7ā641) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.1409 Ć |
31409 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and nine |
| Binary (base 2) | 111101010110001 |
| Octal (base 8) | 75261 |
| Hexadecimal (base 16) | 7AB1 |
| Base 3 | 1121002022 |
| As time | 31409 seconds = 8 h 43 min 29 s |
Is 31409 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 4) | 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 | Yes (31409 Ć· 7 = 4487) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 31409 a prime number?
No. 31409 = Ć 641, so it is divisible by 7.
What are the factors of 31409?
1, 7, 49, 641, 4487, 31409.
What is 31409 in binary?
111101010110001 (hexadecimal 7AB1, octal 75261).
What is the square root of 31409?
About 177.2258, exactly 7ā641.
Is 31409 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 31409?
It is a composite number with 6 divisors.