The number 12553
12553 is the 1500th prime number. Its only divisors are 1 and 12553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12553: the 1500th prime number.
- 2
12553 is prime, so its only factors are 1 and 12553. It is the 1500th prime; the next prime is 12569 and the one before is 12547.
- 3
The divisors add up to 12554; without 12553 itself that is 1, so 12553 is deficient (1 is less than 12553). Euler's totient φ(12553) = 12552 numbers up to 12553 share no factor with it.
- 4
The digits of 12553 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
12553 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12554 |
| Euler totient φ(n) | 12552 |
| Square | 157577809 |
| Cube | 1978074236377 |
| Square root | 112.040171 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2553 × |
12553 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and fifty-three |
| Binary (base 2) | 11000100001001 |
| Octal (base 8) | 30411 |
| Hexadecimal (base 16) | 3109 |
| Base 3 | 122012221 |
| As time | 12553 seconds = 3 h 29 min 13 s |
Is 12553 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 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 12553 a prime number?
Yes. 12553 is divisible only by 1 and itself.
What are the factors of 12553?
1, 12553.
What is 12553 in binary?
11000100001001 (hexadecimal 3109, octal 30411).
What is the square root of 12553?
About 112.0402.
Is 12553 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 12553?
12553 is the 1500th prime number.