The number 15532
15532 is a composite number with 12 divisors. Its prime factorisation is × 11 × 353. Divisors (12): 1, 2, 4, 11, 22, 44, 353, 706, 1412, 3883, 7766, 15532.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15532 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15532 is composite. Its prime factorisation is
- 3
The divisors add up to 29736; without 15532 itself that is 14204, so 15532 is deficient (14204 is less than 15532). Euler's totient φ(15532) = 7040 numbers up to 15532 share no factor with it.
- 4
The digits of 15532 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15532 = 2^{2} \times 11 \times 353 \]15532 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 29736 |
| Euler totient φ(n) | 7040 |
| Square | 241243024 |
| Cube | 3746986648768 |
| Square root | 124.627445 (= 2√3883) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5532 × |
15532 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand five hundred and thirty-two |
| Binary (base 2) | 11110010101100 |
| Octal (base 8) | 36254 |
| Hexadecimal (base 16) | 3CAC |
| Base 3 | 210022021 |
| As time | 15532 seconds = 4 h 18 min 52 s |
Is 15532 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15532 ÷ 2 = 7766) | 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 (15532 ÷ 4 = 3883) | 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 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (15532 ÷ 11 = 1412) | 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 15532 a prime number?
No. 15532 = × 11 × 353, so it is divisible by 2.
What are the factors of 15532?
1, 2, 4, 11, 22, 44, 353, 706, 1412, 3883, 7766, 15532.
What is 15532 in binary?
11110010101100 (hexadecimal 3CAC, octal 36254).
What is the square root of 15532?
About 124.6274, exactly 2√3883.
Is 15532 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 15532?
It is a composite number with 12 divisors.