The number 15336
15336 is a composite number with 32 divisors. Its prime factorisation is × × 71. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 108 … 15336.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15336: a Harshad number: divisible by its digit sum 18.
- 2
15336 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 15336 itself that is 27864, so 15336 is abundant (27864 is more than 15336). Euler's totient φ(15336) = 5040 numbers up to 15336 share no factor with it.
- 4
The digits of 15336 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15336 = 2^{3} \times 3^{3} \times 71 \]15336 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 5040 |
| Square | 235192896 |
| Cube | 3606918253056 |
| Square root | 123.838605 (= 6√426) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5336 × |
15336 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and thirty-six |
| Binary (base 2) | 11101111101000 |
| Octal (base 8) | 35750 |
| Hexadecimal (base 16) | 3BE8 |
| Base 3 | 210001000 |
| As time | 15336 seconds = 4 h 15 min 36 s |
Is 15336 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15336 ÷ 2 = 7668) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15336 ÷ 3 = 5112) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15336 ÷ 4 = 3834) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15336 ÷ 6 = 2556) | 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 | Yes (15336 ÷ 8 = 1917) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15336 ÷ 9 = 1704) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15336 ÷ 12 = 1278) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15336 a prime number?
No. 15336 = × × 71, so it is divisible by 2.
What are the factors of 15336?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 71, 72, 108, 142, 213, 216, 284, 426, 568, 639, 852, 1278, 1704, 1917, 2556, 3834, 5112, 7668, 15336.
What is 15336 in binary?
11101111101000 (hexadecimal 3BE8, octal 35750).
What is the square root of 15336?
About 123.8386, exactly 6√426.
Is 15336 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15336?
15336 is a Harshad number: divisible by its digit sum 18.