The number 15378
15378 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 233. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378.
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How to work it out
- 1
15378 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15378 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 15378 itself that is 18318, so 15378 is abundant (18318 is more than 15378). Euler's totient φ(15378) = 4640 numbers up to 15378 share no factor with it.
- 4
The digits of 15378 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15378 = 2 \times 3 \times 11 \times 233 \]
15378 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 4640 |
| Square | 236482884 |
| Cube | 3636633790152 |
| Square root | 124.008064 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5378 × |
15378 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and seventy-eight |
| Binary (base 2) | 11110000010010 |
| Octal (base 8) | 36022 |
| Hexadecimal (base 16) | 3C12 |
| Base 3 | 210002120 |
| As time | 15378 seconds = 4 h 16 min 18 s |
Is 15378 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15378 ÷ 2 = 7689) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15378 ÷ 3 = 5126) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (15378 ÷ 6 = 2563) | 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 | No (remainder 2) | 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 | Yes (15378 ÷ 11 = 1398) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15378 a prime number?
No. 15378 = 2 × 3 × 11 × 233, so it is divisible by 2.
What are the factors of 15378?
1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378.
What is 15378 in binary?
11110000010010 (hexadecimal 3C12, octal 36022).
What is the square root of 15378?
About 124.0081.
Is 15378 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 15378?
It is a composite number with 16 divisors.