The number 13672
13672 is a composite number with 8 divisors. Its prime factorisation is × 1709. Divisors (8): 1, 2, 4, 8, 1709, 3418, 6836, 13672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13672 is composite. Its prime factorisation is
- 3
The divisors add up to 25650; without 13672 itself that is 11978, so 13672 is deficient (11978 is less than 13672). Euler's totient φ(13672) = 6832 numbers up to 13672 share no factor with it.
- 4
The digits of 13672 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13672 = 2^{3} \times 1709 \]13672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25650 |
| Euler totient φ(n) | 6832 |
| Square | 186923584 |
| Cube | 2555619240448 |
| Square root | 116.927328 (= 2√3418) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3672 × |
13672 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and seventy-two |
| Binary (base 2) | 11010101101000 |
| Octal (base 8) | 32550 |
| Hexadecimal (base 16) | 3568 |
| Base 3 | 200202101 |
| As time | 13672 seconds = 3 h 47 min 52 s |
Is 13672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13672 ÷ 2 = 6836) | 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 (13672 ÷ 4 = 3418) | 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 1) | 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 | Yes (13672 ÷ 8 = 1709) | 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 10) | 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 13672 a prime number?
No. 13672 = × 1709, so it is divisible by 2.
What are the factors of 13672?
1, 2, 4, 8, 1709, 3418, 6836, 13672.
What is 13672 in binary?
11010101101000 (hexadecimal 3568, octal 32550).
What is the square root of 13672?
About 116.9273, exactly 2√3418.
Is 13672 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13672?
It is a composite number with 8 divisors.