The number 27153
27153 is a composite number with 12 divisors. Its prime factorisation is × 7 × 431. Divisors (12): 1, 3, 7, 9, 21, 63, 431, 1293, 3017, 3879, 9051, 27153.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27153 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27153 is composite. Its prime factorisation is
- 3
The divisors add up to 44928; without 27153 itself that is 17775, so 27153 is deficient (17775 is less than 27153). Euler's totient φ(27153) = 15480 numbers up to 27153 share no factor with it.
- 4
The digits of 27153 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27153 = 3^{2} \times 7 \times 431 \]27153 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44928 |
| Euler totient φ(n) | 15480 |
| Square | 737285409 |
| Cube | 20019510710577 |
| Square root | 164.781674 (= 3√3017) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7153 × |
27153 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and fifty-three |
| Binary (base 2) | 110101000010001 |
| Octal (base 8) | 65021 |
| Hexadecimal (base 16) | 6A11 |
| Base 3 | 1101020200 |
| As time | 27153 seconds = 7 h 32 min 33 s |
Is 27153 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 (27153 ÷ 3 = 9051) | 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 | Yes (27153 ÷ 7 = 3879) | 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 (27153 ÷ 9 = 3017) | 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 27153 a prime number?
No. 27153 = × 7 × 431, so it is divisible by 3.
What are the factors of 27153?
1, 3, 7, 9, 21, 63, 431, 1293, 3017, 3879, 9051, 27153.
What is 27153 in binary?
110101000010001 (hexadecimal 6A11, octal 65021).
What is the square root of 27153?
About 164.7817, exactly 3√3017.
Is 27153 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27153?
It is a composite number with 12 divisors.