The number 13437
13437 is a composite number with 6 divisors. Its prime factorisation is × 1493. Divisors (6): 1, 3, 9, 1493, 4479, 13437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13437 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13437 is composite. Its prime factorisation is
- 3
The divisors add up to 19422; without 13437 itself that is 5985, so 13437 is deficient (5985 is less than 13437). Euler's totient φ(13437) = 8952 numbers up to 13437 share no factor with it.
- 4
The digits of 13437 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13437 = 3^{2} \times 1493 \]13437 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 19422 |
| Euler totient φ(n) | 8952 |
| Square | 180552969 |
| Cube | 2426090244453 |
| Square root | 115.918075 (= 3√1493) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3437 × |
13437 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and thirty-seven |
| Binary (base 2) | 11010001111101 |
| Octal (base 8) | 32175 |
| Hexadecimal (base 16) | 347D |
| Base 3 | 200102200 |
| As time | 13437 seconds = 3 h 43 min 57 s |
Is 13437 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13437 ÷ 3 = 4479) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13437 ÷ 9 = 1493) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13437 a prime number?
No. 13437 = × 1493, so it is divisible by 3.
What are the factors of 13437?
1, 3, 9, 1493, 4479, 13437.
What is 13437 in binary?
11010001111101 (hexadecimal 347D, octal 32175).
What is the square root of 13437?
About 115.9181, exactly 3√1493.
Is 13437 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13437?
It is a composite number with 6 divisors.