The number 13858
13858 is a composite number with 12 divisors. Its prime factorisation is 2 × × 41. Divisors (12): 1, 2, 13, 26, 41, 82, 169, 338, 533, 1066, 6929, 13858.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13858 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13858 is composite. Its prime factorisation is
- 3
The divisors add up to 23058; without 13858 itself that is 9200, so 13858 is deficient (9200 is less than 13858). Euler's totient φ(13858) = 6240 numbers up to 13858 share no factor with it.
- 4
The digits of 13858 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13858 = 2 \times 13^{2} \times 41 \]13858 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23058 |
| Euler totient φ(n) | 6240 |
| Square | 192044164 |
| Cube | 2661348024712 |
| Square root | 117.720007 (= 13√82) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3858 × |
13858 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and fifty-eight |
| Binary (base 2) | 11011000100010 |
| Octal (base 8) | 33042 |
| Hexadecimal (base 16) | 3622 |
| Base 3 | 201000021 |
| As time | 13858 seconds = 3 h 50 min 58 s |
Is 13858 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13858 ÷ 2 = 6929) | 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 5) | 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 9) | 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 13858 a prime number?
No. 13858 = 2 × × 41, so it is divisible by 2.
What are the factors of 13858?
1, 2, 13, 26, 41, 82, 169, 338, 533, 1066, 6929, 13858.
What is 13858 in binary?
11011000100010 (hexadecimal 3622, octal 33042).
What is the square root of 13858?
About 117.7200, exactly 13√82.
Is 13858 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13858?
It is a composite number with 12 divisors.