The number 15344
15344 is a composite number with 20 divisors. Its prime factorisation is × 7 × 137. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 137, 274, 548, 959, 1096, 1918 … 15344.
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How to work it out
- 1
15344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15344 is composite. Its prime factorisation is
- 3
The divisors add up to 34224; without 15344 itself that is 18880, so 15344 is abundant (18880 is more than 15344). Euler's totient φ(15344) = 6528 numbers up to 15344 share no factor with it.
- 4
The digits of 15344 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15344 = 2^{4} \times 7 \times 137 \]15344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 34224 |
| Euler totient φ(n) | 6528 |
| Square | 235438336 |
| Cube | 3612565827584 |
| Square root | 123.870901 (= 4√959) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.5344 × |
15344 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and forty-four |
| Binary (base 2) | 11101111110000 |
| Octal (base 8) | 35760 |
| Hexadecimal (base 16) | 3BF0 |
| Base 3 | 210001022 |
| As time | 15344 seconds = 4 h 15 min 44 s |
Is 15344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15344 ÷ 2 = 7672) | 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 (15344 ÷ 4 = 3836) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15344 ÷ 7 = 2192) | 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 (15344 ÷ 8 = 1918) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 15344 a prime number?
No. 15344 = × 7 × 137, so it is divisible by 2.
What are the factors of 15344?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 137, 274, 548, 959, 1096, 1918, 2192, 3836, 7672, 15344.
What is 15344 in binary?
11101111110000 (hexadecimal 3BF0, octal 35760).
What is the square root of 15344?
About 123.8709, exactly 4√959.
Is 15344 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15344?
It is a composite number with 20 divisors.