The number 13072
13072 is a composite number with 20 divisors. Its prime factorisation is × 19 × 43. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817 … 13072.
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How to work it out
- 1
13072 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13072 is composite. Its prime factorisation is
- 3
The divisors add up to 27280; without 13072 itself that is 14208, so 13072 is abundant (14208 is more than 13072). Euler's totient φ(13072) = 6048 numbers up to 13072 share no factor with it.
- 4
The digits of 13072 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13072 = 2^{4} \times 19 \times 43 \]13072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 27280 |
| Euler totient φ(n) | 6048 |
| Square | 170877184 |
| Cube | 2233706549248 |
| Square root | 114.332847 (= 4√817) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3072 × |
13072 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-two |
| Binary (base 2) | 11001100010000 |
| Octal (base 8) | 31420 |
| Hexadecimal (base 16) | 3310 |
| Base 3 | 122221011 |
| As time | 13072 seconds = 3 h 37 min 52 s |
Is 13072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13072 ÷ 2 = 6536) | 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 (13072 ÷ 4 = 3268) | 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 | Yes (13072 ÷ 8 = 1634) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 13072 a prime number?
No. 13072 = × 19 × 43, so it is divisible by 2.
What are the factors of 13072?
1, 2, 4, 8, 16, 19, 38, 43, 76, 86, 152, 172, 304, 344, 688, 817, 1634, 3268, 6536, 13072.
What is 13072 in binary?
11001100010000 (hexadecimal 3310, octal 31420).
What is the square root of 13072?
About 114.3328, exactly 4√817.
Is 13072 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13072?
It is a composite number with 20 divisors.