The number 13487
13487 is the 1599th prime number. Its only divisors are 1 and 13487.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13487: the 1599th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13487 is prime, so its only factors are 1 and 13487. It is the 1599th prime; the next prime is 13499 and the one before is 13477.
- 3
The divisors add up to 13488; without 13487 itself that is 1, so 13487 is deficient (1 is less than 13487). Euler's totient φ(13487) = 13486 numbers up to 13487 share no factor with it.
- 4
The digits of 13487 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 138 steps to reach 1.
13487 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13488 |
| Euler totient φ(n) | 13486 |
| Square | 181899169 |
| Cube | 2453274092303 |
| Square root | 116.133544 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3487 × |
13487 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighty-seven |
| Binary (base 2) | 11010010101111 |
| Octal (base 8) | 32257 |
| Hexadecimal (base 16) | 34AF |
| Base 3 | 200111112 |
| As time | 13487 seconds = 3 h 44 min 47 s |
Is 13487 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 3) | 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 5) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13487 a prime number?
Yes. 13487 is divisible only by 1 and itself.
What are the factors of 13487?
1, 13487.
What is 13487 in binary?
11010010101111 (hexadecimal 34AF, octal 32257).
What is the square root of 13487?
About 116.1335.
Is 13487 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13487?
13487 is the 1599th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.