The number 13492
13492 is a composite number with 6 divisors. Its prime factorisation is × 3373. Divisors (6): 1, 2, 4, 3373, 6746, 13492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13492 is composite. Its prime factorisation is
- 3
The divisors add up to 23618; without 13492 itself that is 10126, so 13492 is deficient (10126 is less than 13492). Euler's totient φ(13492) = 6744 numbers up to 13492 share no factor with it.
- 4
The digits of 13492 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13492 = 2^{2} \times 3373 \]13492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23618 |
| Euler totient φ(n) | 6744 |
| Square | 182034064 |
| Cube | 2456003591488 |
| Square root | 116.155069 (= 2√3373) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3492 × |
13492 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and ninety-two |
| Binary (base 2) | 11010010110100 |
| Octal (base 8) | 32264 |
| Hexadecimal (base 16) | 34B4 |
| Base 3 | 200111201 |
| As time | 13492 seconds = 3 h 44 min 52 s |
Is 13492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13492 ÷ 2 = 6746) | 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 | Yes (13492 ÷ 4 = 3373) | 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 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13492 a prime number?
No. 13492 = × 3373, so it is divisible by 2.
What are the factors of 13492?
1, 2, 4, 3373, 6746, 13492.
What is 13492 in binary?
11010010110100 (hexadecimal 34B4, octal 32264).
What is the square root of 13492?
About 116.1551, exactly 2√3373.
Is 13492 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13492?
It is a composite number with 6 divisors.