The number 5249
5249 is a composite number with 4 divisors. Its prime factorisation is 29 × 181. Divisors (4): 1, 29, 181, 5249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5249: a semiprime: 29 × 181, the product of two primes.
- 2
5249 is composite. Its prime factorisation is
- 3
The divisors add up to 5460; without 5249 itself that is 211, so 5249 is deficient (211 is less than 5249). Euler's totient φ(5249) = 5040 numbers up to 5249 share no factor with it.
- 4
The digits of 5249 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5249 = 29 \times 181 \]
5249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5460 |
| Euler totient φ(n) | 5040 |
| Square | 27552001 |
| Cube | 144620453249 |
| Square root | 72.449983 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.249 × |
5249 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and forty-nine |
| Binary (base 2) | 1010010000001 |
| Octal (base 8) | 12201 |
| Hexadecimal (base 16) | 1481 |
| Base 3 | 21012102 |
| As time | 5249 seconds = 1 h 27 min 29 s |
Is 5249 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 6) | 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 2) | 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 2) | 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 5249 a prime number?
No. 5249 = 29 × 181, so it is divisible by 29.
What are the factors of 5249?
1, 29, 181, 5249.
What is 5249 in binary?
1010010000001 (hexadecimal 1481, octal 12201).
What is the square root of 5249?
About 72.4500.
Is 5249 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5249?
5249 is a semiprime: 29 × 181, the product of two primes.