The number 15328
15328 is a composite number with 12 divisors. Its prime factorisation is × 479. Divisors (12): 1, 2, 4, 8, 16, 32, 479, 958, 1916, 3832, 7664, 15328.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15328: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15328 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 15328 itself that is 14912, so 15328 is deficient (14912 is less than 15328). Euler's totient φ(15328) = 7648 numbers up to 15328 share no factor with it.
- 4
The digits of 15328 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
\[ 15328 = 2^{5} \times 479 \]15328 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 7648 |
| Square | 234947584 |
| Cube | 3601276567552 |
| Square root | 123.806300 (= 4√958) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5328 × |
15328 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and twenty-eight |
| Binary (base 2) | 11101111100000 |
| Octal (base 8) | 35740 |
| Hexadecimal (base 16) | 3BE0 |
| Base 3 | 210000201 |
| As time | 15328 seconds = 4 h 15 min 28 s |
Is 15328 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15328 ÷ 2 = 7664) | 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 (15328 ÷ 4 = 3832) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 (15328 ÷ 8 = 1916) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 15328 a prime number?
No. 15328 = × 479, so it is divisible by 2.
What are the factors of 15328?
1, 2, 4, 8, 16, 32, 479, 958, 1916, 3832, 7664, 15328.
What is 15328 in binary?
11101111100000 (hexadecimal 3BE0, octal 35740).
What is the square root of 15328?
About 123.8063, exactly 4√958.
Is 15328 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15328?
15328 is a happy number: repeatedly adding the squares of its digits reaches 1.