The number 5267
5267 is a composite number with 4 divisors. Its prime factorisation is 23 × 229. Divisors (4): 1, 23, 229, 5267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5267: a semiprime: 23 × 229, the product of two primes.
- 2
5267 is composite. Its prime factorisation is
- 3
The divisors add up to 5520; without 5267 itself that is 253, so 5267 is deficient (253 is less than 5267). Euler's totient φ(5267) = 5016 numbers up to 5267 share no factor with it.
- 4
The digits of 5267 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5267 = 23 \times 229 \]
5267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5520 |
| Euler totient φ(n) | 5016 |
| Square | 27741289 |
| Cube | 146113369163 |
| Square root | 72.574100 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.267 × |
5267 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and sixty-seven |
| Binary (base 2) | 1010010010011 |
| Octal (base 8) | 12223 |
| Hexadecimal (base 16) | 1493 |
| Base 3 | 21020002 |
| As time | 5267 seconds = 1 h 27 min 47 s |
Is 5267 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 3) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 5267 a prime number?
No. 5267 = 23 × 229, so it is divisible by 23.
What are the factors of 5267?
1, 23, 229, 5267.
What is 5267 in binary?
1010010010011 (hexadecimal 1493, octal 12223).
What is the square root of 5267?
About 72.5741.
Is 5267 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 5267?
5267 is a semiprime: 23 × 229, the product of two primes.