The number 13852
13852 is a composite number with 6 divisors. Its prime factorisation is × 3463. Divisors (6): 1, 2, 4, 3463, 6926, 13852.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13852: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13852 is composite. Its prime factorisation is
- 3
The divisors add up to 24248; without 13852 itself that is 10396, so 13852 is deficient (10396 is less than 13852). Euler's totient φ(13852) = 6924 numbers up to 13852 share no factor with it.
- 4
The digits of 13852 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13852 = 2^{2} \times 3463 \]13852 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 24248 |
| Euler totient φ(n) | 6924 |
| Square | 191877904 |
| Cube | 2657892726208 |
| Square root | 117.694520 (= 2√3463) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3852 × |
13852 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and fifty-two |
| Binary (base 2) | 11011000011100 |
| Octal (base 8) | 33034 |
| Hexadecimal (base 16) | 361C |
| Base 3 | 201000001 |
| As time | 13852 seconds = 3 h 50 min 52 s |
Is 13852 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13852 ÷ 2 = 6926) | 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 | Yes (13852 ÷ 4 = 3463) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13852 a prime number?
No. 13852 = × 3463, so it is divisible by 2.
What are the factors of 13852?
1, 2, 4, 3463, 6926, 13852.
What is 13852 in binary?
11011000011100 (hexadecimal 361C, octal 33034).
What is the square root of 13852?
About 117.6945, exactly 2√3463.
Is 13852 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13852?
13852 is a happy number: repeatedly adding the squares of its digits reaches 1.