The number 15108
15108 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1259. Divisors (12): 1, 2, 3, 4, 6, 12, 1259, 2518, 3777, 5036, 7554, 15108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15108: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15108 is composite. Its prime factorisation is
- 3
The divisors add up to 35280; without 15108 itself that is 20172, so 15108 is abundant (20172 is more than 15108). Euler's totient φ(15108) = 5032 numbers up to 15108 share no factor with it.
- 4
The digits of 15108 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15108 = 2^{2} \times 3 \times 1259 \]15108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35280 |
| Euler totient φ(n) | 5032 |
| Square | 228251664 |
| Cube | 3448426139712 |
| Square root | 122.914605 (= 2√3777) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.5108 × |
15108 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and eight |
| Binary (base 2) | 11101100000100 |
| Octal (base 8) | 35404 |
| Hexadecimal (base 16) | 3B04 |
| Base 3 | 202201120 |
| As time | 15108 seconds = 4 h 11 min 48 s |
Is 15108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15108 ÷ 2 = 7554) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15108 ÷ 3 = 5036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15108 ÷ 4 = 3777) | 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 | Yes (15108 ÷ 6 = 2518) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (15108 ÷ 12 = 1259) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15108 a prime number?
No. 15108 = × 3 × 1259, so it is divisible by 2.
What are the factors of 15108?
1, 2, 3, 4, 6, 12, 1259, 2518, 3777, 5036, 7554, 15108.
What is 15108 in binary?
11101100000100 (hexadecimal 3B04, octal 35404).
What is the square root of 15108?
About 122.9146, exactly 2√3777.
Is 15108 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15108?
15108 is a happy number: repeatedly adding the squares of its digits reaches 1.