The number 13898
13898 is a composite number with 4 divisors. Its prime factorisation is 2 × 6949. Divisors (4): 1, 2, 6949, 13898.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13898: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6949, the product of two primes.
- 2
13898 is composite. Its prime factorisation is
- 3
The divisors add up to 20850; without 13898 itself that is 6952, so 13898 is deficient (6952 is less than 13898). Euler's totient φ(13898) = 6948 numbers up to 13898 share no factor with it.
- 4
The digits of 13898 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13898 = 2 \times 6949 \]
13898 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20850 |
| Euler totient φ(n) | 6948 |
| Square | 193154404 |
| Cube | 2684459906792 |
| Square root | 117.889779 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3898 × |
13898 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ninety-eight |
| Binary (base 2) | 11011001001010 |
| Octal (base 8) | 33112 |
| Hexadecimal (base 16) | 364A |
| Base 3 | 201001202 |
| As time | 13898 seconds = 3 h 51 min 38 s |
Is 13898 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13898 ÷ 2 = 6949) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | 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 2) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13898 a prime number?
No. 13898 = 2 × 6949, so it is divisible by 2.
What are the factors of 13898?
1, 2, 6949, 13898.
What is 13898 in binary?
11011001001010 (hexadecimal 364A, octal 33112).
What is the square root of 13898?
About 117.8898.
Is 13898 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 13898?
13898 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6949, the product of two primes.