The number 31469
31469 is the 3386th prime number. Its only divisors are 1 and 31469.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31469: the 3386th prime number.
- 2
31469 is prime, so its only factors are 1 and 31469. It is the 3386th prime; the next prime is 31477 and the one before is 31397.
- 3
The divisors add up to 31470; without 31469 itself that is 1, so 31469 is deficient (1 is less than 31469). Euler's totient φ(31469) = 31468 numbers up to 31469 share no factor with it.
- 4
The digits of 31469 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
31469 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31470 |
| Euler totient φ(n) | 31468 |
| Square | 990297961 |
| Cube | 31163686534709 |
| Square root | 177.395039 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.1469 × |
31469 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand four hundred and sixty-nine |
| Binary (base 2) | 111101011101101 |
| Octal (base 8) | 75355 |
| Hexadecimal (base 16) | 7AED |
| Base 3 | 1121011112 |
| As time | 31469 seconds = 8 h 44 min 29 s |
Is 31469 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | 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 31469 a prime number?
Yes. 31469 is divisible only by 1 and itself.
What are the factors of 31469?
1, 31469.
What is 31469 in binary?
111101011101101 (hexadecimal 7AED, octal 75355).
What is the square root of 31469?
About 177.3950.
Is 31469 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 31469?
31469 is the 3386th prime number.