The number 13692
13692 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 163. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 163, 326, 489, 652 … 13692.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13692: a Harshad number: divisible by its digit sum 21.
- 2
13692 is composite. Its prime factorisation is
- 3
The divisors add up to 36736; without 13692 itself that is 23044, so 13692 is abundant (23044 is more than 13692). Euler's totient φ(13692) = 3888 numbers up to 13692 share no factor with it.
- 4
The digits of 13692 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13692 = 2^{2} \times 3 \times 7 \times 163 \]13692 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 36736 |
| Euler totient φ(n) | 3888 |
| Square | 187470864 |
| Cube | 2566851069888 |
| Square root | 117.012820 (= 2√3423) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3692 × |
13692 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and ninety-two |
| Binary (base 2) | 11010101111100 |
| Octal (base 8) | 32574 |
| Hexadecimal (base 16) | 357C |
| Base 3 | 200210010 |
| As time | 13692 seconds = 3 h 48 min 12 s |
Is 13692 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13692 ÷ 2 = 6846) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13692 ÷ 3 = 4564) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13692 ÷ 4 = 3423) | 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 | Yes (13692 ÷ 6 = 2282) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13692 ÷ 7 = 1956) | 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 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13692 ÷ 12 = 1141) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13692 a prime number?
No. 13692 = × 3 × 7 × 163, so it is divisible by 2.
What are the factors of 13692?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 163, 326, 489, 652, 978, 1141, 1956, 2282, 3423, 4564, 6846, 13692.
What is 13692 in binary?
11010101111100 (hexadecimal 357C, octal 32574).
What is the square root of 13692?
About 117.0128, exactly 2√3423.
Is 13692 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13692?
13692 is a Harshad number: divisible by its digit sum 21.