The number 13272
13272 is a composite number with 32 divisors. Its prime factorisation is × 3 × 7 × 79. Divisors (32): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 79, 84 … 13272.
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How to work it out
- 1
13272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13272 is composite. Its prime factorisation is
- 3
The divisors add up to 38400; without 13272 itself that is 25128, so 13272 is abundant (25128 is more than 13272). Euler's totient φ(13272) = 3744 numbers up to 13272 share no factor with it.
- 4
The digits of 13272 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13272 = 2^{3} \times 3 \times 7 \times 79 \]13272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 38400 |
| Euler totient φ(n) | 3744 |
| Square | 176145984 |
| Cube | 2337809499648 |
| Square root | 115.204167 (= 2√3318) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3272 × |
13272 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and seventy-two |
| Binary (base 2) | 11001111011000 |
| Octal (base 8) | 31730 |
| Hexadecimal (base 16) | 33D8 |
| Base 3 | 200012120 |
| As time | 13272 seconds = 3 h 41 min 12 s |
Is 13272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13272 ÷ 2 = 6636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13272 ÷ 3 = 4424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13272 ÷ 4 = 3318) | 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 (13272 ÷ 6 = 2212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13272 ÷ 7 = 1896) | 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 (13272 ÷ 8 = 1659) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (13272 ÷ 12 = 1106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13272 a prime number?
No. 13272 = × 3 × 7 × 79, so it is divisible by 2.
What are the factors of 13272?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 79, 84, 158, 168, 237, 316, 474, 553, 632, 948, 1106, 1659, 1896, 2212, 3318, 4424, 6636, 13272.
What is 13272 in binary?
11001111011000 (hexadecimal 33D8, octal 31730).
What is the square root of 13272?
About 115.2042, exactly 2√3318.
Is 13272 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13272?
It is a composite number with 32 divisors.