The number 13892
13892 is a composite number with 12 divisors. Its prime factorisation is × 23 × 151. Divisors (12): 1, 2, 4, 23, 46, 92, 151, 302, 604, 3473, 6946, 13892.
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How to work it out
- 1
What is special about 13892: a Harshad number: divisible by its digit sum 23.
- 2
13892 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 13892 itself that is 11644, so 13892 is deficient (11644 is less than 13892). Euler's totient φ(13892) = 6600 numbers up to 13892 share no factor with it.
- 4
The digits of 13892 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13892 = 2^{2} \times 23 \times 151 \]13892 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 6600 |
| Square | 192987664 |
| Cube | 2680984628288 |
| Square root | 117.864329 (= 2√3473) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3892 × |
13892 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and ninety-two |
| Binary (base 2) | 11011001000100 |
| Octal (base 8) | 33104 |
| Hexadecimal (base 16) | 3644 |
| Base 3 | 201001112 |
| As time | 13892 seconds = 3 h 51 min 32 s |
Is 13892 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13892 ÷ 2 = 6946) | 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 | Yes (13892 ÷ 4 = 3473) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13892 a prime number?
No. 13892 = × 23 × 151, so it is divisible by 2.
What are the factors of 13892?
1, 2, 4, 23, 46, 92, 151, 302, 604, 3473, 6946, 13892.
What is 13892 in binary?
11011001000100 (hexadecimal 3644, octal 33104).
What is the square root of 13892?
About 117.8643, exactly 2√3473.
Is 13892 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 13892?
13892 is a Harshad number: divisible by its digit sum 23.