The number 27502
27502 is a composite number with 4 divisors. Its prime factorisation is 2 × 13751. Divisors (4): 1, 2, 13751, 27502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27502: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13751, the product of two primes.
- 2
27502 is composite. Its prime factorisation is
- 3
The divisors add up to 41256; without 27502 itself that is 13754, so 27502 is deficient (13754 is less than 27502). Euler's totient φ(27502) = 13750 numbers up to 27502 share no factor with it.
- 4
The digits of 27502 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27502 = 2 \times 13751 \]
27502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41256 |
| Euler totient φ(n) | 13750 |
| Square | 756360004 |
| Cube | 20801412830008 |
| Square root | 165.837270 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7502 × |
27502 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand five hundred and two |
| Binary (base 2) | 110101101101110 |
| Octal (base 8) | 65556 |
| Hexadecimal (base 16) | 6B6E |
| Base 3 | 1101201121 |
| As time | 27502 seconds = 7 h 38 min 22 s |
Is 27502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27502 ÷ 2 = 13751) | 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 2) | 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 4) | 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 6) | 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 2) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27502 a prime number?
No. 27502 = 2 × 13751, so it is divisible by 2.
What are the factors of 27502?
1, 2, 13751, 27502.
What is 27502 in binary?
110101101101110 (hexadecimal 6B6E, octal 65556).
What is the square root of 27502?
About 165.8373.
Is 27502 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27502?
27502 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13751, the product of two primes.