The number 13553
13553 is the 1604th prime number. Its only divisors are 1 and 13553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13553: the 1604th prime number.
- 2
13553 is prime, so its only factors are 1 and 13553. It is the 1604th prime; the next prime is 13567 and the one before is 13537.
- 3
The divisors add up to 13554; without 13553 itself that is 1, so 13553 is deficient (1 is less than 13553). Euler's totient φ(13553) = 13552 numbers up to 13553 share no factor with it.
- 4
The digits of 13553 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 37 steps to reach 1.
13553 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13554 |
| Euler totient φ(n) | 13552 |
| Square | 183683809 |
| Cube | 2489466663377 |
| Square root | 116.417353 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.3553 × |
13553 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and fifty-three |
| Binary (base 2) | 11010011110001 |
| Octal (base 8) | 32361 |
| Hexadecimal (base 16) | 34F1 |
| Base 3 | 200120222 |
| As time | 13553 seconds = 3 h 45 min 53 s |
Is 13553 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 3) | 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 1) | 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 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13553 a prime number?
Yes. 13553 is divisible only by 1 and itself.
What are the factors of 13553?
1, 13553.
What is 13553 in binary?
11010011110001 (hexadecimal 34F1, octal 32361).
What is the square root of 13553?
About 116.4174.
Is 13553 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13553?
13553 is the 1604th prime number.