The number 15272
15272 is a composite number with 16 divisors. Its prime factorisation is × 23 × 83. Divisors (16): 1, 2, 4, 8, 23, 46, 83, 92, 166, 184, 332, 664, 1909, 3818, 7636, 15272.
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How to work it out
- 1
15272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15272 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 15272 itself that is 14968, so 15272 is deficient (14968 is less than 15272). Euler's totient φ(15272) = 7216 numbers up to 15272 share no factor with it.
- 4
The digits of 15272 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15272 = 2^{3} \times 23 \times 83 \]15272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 7216 |
| Square | 233233984 |
| Cube | 3561949403648 |
| Square root | 123.579934 (= 2√3818) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5272 × |
15272 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand two hundred and seventy-two |
| Binary (base 2) | 11101110101000 |
| Octal (base 8) | 35650 |
| Hexadecimal (base 16) | 3BA8 |
| Base 3 | 202221122 |
| As time | 15272 seconds = 4 h 14 min 32 s |
Is 15272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15272 ÷ 2 = 7636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15272 ÷ 4 = 3818) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (15272 ÷ 8 = 1909) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15272 a prime number?
No. 15272 = × 23 × 83, so it is divisible by 2.
What are the factors of 15272?
1, 2, 4, 8, 23, 46, 83, 92, 166, 184, 332, 664, 1909, 3818, 7636, 15272.
What is 15272 in binary?
11101110101000 (hexadecimal 3BA8, octal 35650).
What is the square root of 15272?
About 123.5799, exactly 2√3818.
Is 15272 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15272?
It is a composite number with 16 divisors.