The number 15273
15273 is a composite number with 6 divisors. Its prime factorisation is × 1697. Divisors (6): 1, 3, 9, 1697, 5091, 15273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15273 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15273 is composite. Its prime factorisation is
- 3
The divisors add up to 22074; without 15273 itself that is 6801, so 15273 is deficient (6801 is less than 15273). Euler's totient φ(15273) = 10176 numbers up to 15273 share no factor with it.
- 4
The digits of 15273 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15273 = 3^{2} \times 1697 \]15273 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 22074 |
| Euler totient φ(n) | 10176 |
| Square | 233264529 |
| Cube | 3562649151417 |
| Square root | 123.583980 (= 3√1697) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5273 × |
15273 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and seventy-three |
| Binary (base 2) | 11101110101001 |
| Octal (base 8) | 35651 |
| Hexadecimal (base 16) | 3BA9 |
| Base 3 | 202221200 |
| As time | 15273 seconds = 4 h 14 min 33 s |
Is 15273 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 | Yes (15273 ÷ 3 = 5091) | 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 3) | 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 | Yes (15273 ÷ 9 = 1697) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15273 a prime number?
No. 15273 = × 1697, so it is divisible by 3.
What are the factors of 15273?
1, 3, 9, 1697, 5091, 15273.
What is 15273 in binary?
11101110101001 (hexadecimal 3BA9, octal 35651).
What is the square root of 15273?
About 123.5840, exactly 3√1697.
Is 15273 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15273?
It is a composite number with 6 divisors.