The number 13477
13477 is the 1598th prime number. Its only divisors are 1 and 13477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13477: the 1598th prime number.
- 2
13477 is prime, so its only factors are 1 and 13477. It is the 1598th prime; the next prime is 13487 and the one before is 13469.
- 3
The divisors add up to 13478; without 13477 itself that is 1, so 13477 is deficient (1 is less than 13477). Euler's totient φ(13477) = 13476 numbers up to 13477 share no factor with it.
- 4
The digits of 13477 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
13477 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13478 |
| Euler totient φ(n) | 13476 |
| Square | 181629529 |
| Cube | 2447821162333 |
| Square root | 116.090482 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3477 × |
13477 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and seventy-seven |
| Binary (base 2) | 11010010100101 |
| Octal (base 8) | 32245 |
| Hexadecimal (base 16) | 34A5 |
| Base 3 | 200111011 |
| As time | 13477 seconds = 3 h 44 min 37 s |
Is 13477 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13477 a prime number?
Yes. 13477 is divisible only by 1 and itself.
What are the factors of 13477?
1, 13477.
What is 13477 in binary?
11010010100101 (hexadecimal 34A5, octal 32245).
What is the square root of 13477?
About 116.0905.
Is 13477 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13477?
13477 is the 1598th prime number.