The number 15380
15380 is a composite number with 12 divisors. Its prime factorisation is × 5 × 769. Divisors (12): 1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690, 15380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15380 is composite. Its prime factorisation is
- 3
The divisors add up to 32340; without 15380 itself that is 16960, so 15380 is abundant (16960 is more than 15380). Euler's totient φ(15380) = 6144 numbers up to 15380 share no factor with it.
- 4
The digits of 15380 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15380 = 2^{2} \times 5 \times 769 \]15380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32340 |
| Euler totient φ(n) | 6144 |
| Square | 236544400 |
| Cube | 3638052872000 |
| Square root | 124.016128 (= 2√3845) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.538 × |
15380 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and eighty |
| Binary (base 2) | 11110000010100 |
| Octal (base 8) | 36024 |
| Hexadecimal (base 16) | 3C14 |
| Base 3 | 210002122 |
| As time | 15380 seconds = 4 h 16 min 20 s |
Is 15380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15380 ÷ 2 = 7690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15380 ÷ 4 = 3845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15380 ÷ 5 = 3076) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15380 ÷ 10 = 1538) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15380 a prime number?
No. 15380 = × 5 × 769, so it is divisible by 2.
What are the factors of 15380?
1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690, 15380.
What is 15380 in binary?
11110000010100 (hexadecimal 3C14, octal 36024).
What is the square root of 15380?
About 124.0161, exactly 2√3845.
Is 15380 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15380?
It is a composite number with 12 divisors.