The number 15364
15364 is a composite number with 12 divisors. Its prime factorisation is × 23 × 167. Divisors (12): 1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15364 is composite. Its prime factorisation is
- 3
The divisors add up to 28224; without 15364 itself that is 12860, so 15364 is deficient (12860 is less than 15364). Euler's totient φ(15364) = 7304 numbers up to 15364 share no factor with it.
- 4
The digits of 15364 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15364 = 2^{2} \times 23 \times 167 \]15364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 28224 |
| Euler totient φ(n) | 7304 |
| Square | 236052496 |
| Cube | 3626710548544 |
| Square root | 123.951603 (= 2√3841) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.5364 × |
15364 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and sixty-four |
| Binary (base 2) | 11110000000100 |
| Octal (base 8) | 36004 |
| Hexadecimal (base 16) | 3C04 |
| Base 3 | 210002001 |
| As time | 15364 seconds = 4 h 16 min 4 s |
Is 15364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15364 ÷ 2 = 7682) | 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 (15364 ÷ 4 = 3841) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 15364 a prime number?
No. 15364 = × 23 × 167, so it is divisible by 2.
What are the factors of 15364?
1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364.
What is 15364 in binary?
11110000000100 (hexadecimal 3C04, octal 36004).
What is the square root of 15364?
About 123.9516, exactly 2√3841.
Is 15364 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 15364?
It is a composite number with 12 divisors.