The number 13288
13288 is a composite number with 16 divisors. Its prime factorisation is × 11 × 151. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 151, 302, 604, 1208, 1661, 3322, 6644, 13288.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13288: a Harshad number: divisible by its digit sum 22.
- 2
13288 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 13288 itself that is 14072, so 13288 is abundant (14072 is more than 13288). Euler's totient φ(13288) = 6000 numbers up to 13288 share no factor with it.
- 4
The digits of 13288 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13288 = 2^{3} \times 11 \times 151 \]13288 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 6000 |
| Square | 176570944 |
| Cube | 2346274703872 |
| Square root | 115.273588 (= 2√3322) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3288 × |
13288 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and eighty-eight |
| Binary (base 2) | 11001111101000 |
| Octal (base 8) | 31750 |
| Hexadecimal (base 16) | 33E8 |
| Base 3 | 200020011 |
| As time | 13288 seconds = 3 h 41 min 28 s |
Is 13288 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13288 ÷ 2 = 6644) | 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 (13288 ÷ 4 = 3322) | 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 2) | 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 (13288 ÷ 8 = 1661) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (13288 ÷ 11 = 1208) | 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 13288 a prime number?
No. 13288 = × 11 × 151, so it is divisible by 2.
What are the factors of 13288?
1, 2, 4, 8, 11, 22, 44, 88, 151, 302, 604, 1208, 1661, 3322, 6644, 13288.
What is 13288 in binary?
11001111101000 (hexadecimal 33E8, octal 31750).
What is the square root of 13288?
About 115.2736, exactly 2√3322.
Is 13288 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13288?
13288 is a Harshad number: divisible by its digit sum 22.