The number 15180
15180 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 11 × 23. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44 … 15180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15180: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
15180 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 15180 itself that is 33204, so 15180 is abundant (33204 is more than 15180). Euler's totient φ(15180) = 3520 numbers up to 15180 share no factor with it.
- 4
The digits of 15180 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15180 = 2^{2} \times 3 \times 5 \times 11 \times 23 \]15180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 3520 |
| Square | 230432400 |
| Cube | 3497963832000 |
| Square root | 123.207143 (= 2√3795) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.518 × |
15180 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand one hundred and eighty |
| Binary (base 2) | 11101101001100 |
| Octal (base 8) | 35514 |
| Hexadecimal (base 16) | 3B4C |
| Base 3 | 202211020 |
| As time | 15180 seconds = 4 h 13 min 0 s |
Is 15180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15180 ÷ 2 = 7590) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15180 ÷ 3 = 5060) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15180 ÷ 4 = 3795) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15180 ÷ 5 = 3036) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15180 ÷ 6 = 2530) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (15180 ÷ 10 = 1518) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (15180 ÷ 11 = 1380) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15180 ÷ 12 = 1265) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15180 a prime number?
No. 15180 = × 3 × 5 × 11 × 23, so it is divisible by 2.
What are the factors of 15180?
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 23, 30, 33, 44, 46, 55, 60, 66, 69, 92, 110, 115, 132, 138, 165, 220, 230, 253, 276, 330, 345, 460, 506, 660, 690, 759, 1012, 1265, 1380, 1518, 2530, 3036, 3795, 5060, 7590, 15180.
What is 15180 in binary?
11101101001100 (hexadecimal 3B4C, octal 35514).
What is the square root of 15180?
About 123.2071, exactly 2√3795.
Is 15180 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15180?
15180 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.