The number 15376
15376 is a perfect square (124²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15376: a perfect square (124²).
- 2
15376 is composite. Its prime factorisation is
- 3
The divisors add up to 30783; without 15376 itself that is 15407, so 15376 is abundant (15407 is more than 15376). Euler's totient φ(15376) = 7440 numbers up to 15376 share no factor with it.
- 4
The digits of 15376 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15376 = 2^{4} \times 31^{2} \]15376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 30783 |
| Euler totient φ(n) | 7440 |
| Square | 236421376 |
| Cube | 3635215077376 |
| Square root | 124 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5376 × |
| Perfect power |
15376 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and seventy-six |
| Binary (base 2) | 11110000010000 |
| Octal (base 8) | 36020 |
| Hexadecimal (base 16) | 3C10 |
| Base 3 | 210002111 |
| As time | 15376 seconds = 4 h 16 min 16 s |
Is 15376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15376 ÷ 2 = 7688) | 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 (15376 ÷ 4 = 3844) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (15376 ÷ 8 = 1922) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 15376 a prime number?
No. 15376 = × , so it is divisible by 2.
What are the factors of 15376?
1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376.
What is 15376 in binary?
11110000010000 (hexadecimal 3C10, octal 36020).
What is the square root of 15376?
124, because 124 × 124 = 15376.
Is 15376 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 15376?
15376 is a perfect square (124²).