The number 27898
27898 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 29 × 37. Divisors (16): 1, 2, 13, 26, 29, 37, 58, 74, 377, 481, 754, 962, 1073, 2146, 13949, 27898.
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How to work it out
- 1
What is special about 27898: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27898 is composite. Its prime factorisation is
- 3
The divisors add up to 47880; without 27898 itself that is 19982, so 27898 is deficient (19982 is less than 27898). Euler's totient φ(27898) = 12096 numbers up to 27898 share no factor with it.
- 4
The digits of 27898 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27898 = 2 \times 13 \times 29 \times 37 \]
27898 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 47880 |
| Euler totient φ(n) | 12096 |
| Square | 778298404 |
| Cube | 21712968874792 |
| Square root | 167.026944 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.7898 × |
27898 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and ninety-eight |
| Binary (base 2) | 110110011111010 |
| Octal (base 8) | 66372 |
| Hexadecimal (base 16) | 6CFA |
| Base 3 | 1102021021 |
| As time | 27898 seconds = 7 h 44 min 58 s |
Is 27898 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27898 ÷ 2 = 13949) | 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 3) | 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 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 2) | 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 8) | 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 27898 a prime number?
No. 27898 = 2 × 13 × 29 × 37, so it is divisible by 2.
What are the factors of 27898?
1, 2, 13, 26, 29, 37, 58, 74, 377, 481, 754, 962, 1073, 2146, 13949, 27898.
What is 27898 in binary?
110110011111010 (hexadecimal 6CFA, octal 66372).
What is the square root of 27898?
About 167.0269.
Is 27898 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 27898?
27898 is a happy number: repeatedly adding the squares of its digits reaches 1.