The number 13874
13874 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 991. Divisors (8): 1, 2, 7, 14, 991, 1982, 6937, 13874.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13874: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13874 is composite. Its prime factorisation is
- 3
The divisors add up to 23808; without 13874 itself that is 9934, so 13874 is deficient (9934 is less than 13874). Euler's totient φ(13874) = 5940 numbers up to 13874 share no factor with it.
- 4
The digits of 13874 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13874 = 2 \times 7 \times 991 \]
13874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23808 |
| Euler totient φ(n) | 5940 |
| Square | 192487876 |
| Cube | 2670576791624 |
| Square root | 117.787945 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3874 × |
13874 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and seventy-four |
| Binary (base 2) | 11011000110010 |
| Octal (base 8) | 33062 |
| Hexadecimal (base 16) | 3632 |
| Base 3 | 201000212 |
| As time | 13874 seconds = 3 h 51 min 14 s |
Is 13874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13874 ÷ 2 = 6937) | 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 4) | 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 | Yes (13874 ÷ 7 = 1982) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13874 a prime number?
No. 13874 = 2 × 7 × 991, so it is divisible by 2.
What are the factors of 13874?
1, 2, 7, 14, 991, 1982, 6937, 13874.
What is 13874 in binary?
11011000110010 (hexadecimal 3632, octal 33062).
What is the square root of 13874?
About 117.7879.
Is 13874 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13874?
13874 is a happy number: repeatedly adding the squares of its digits reaches 1.