The number 15444
15444 is a composite number with 48 divisors. Its prime factorisation is × × 11 × 13. Divisors (48): 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39 … 15444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15444: a Harshad number: divisible by its digit sum 18.
- 2
15444 is composite. Its prime factorisation is
- 3
The divisors add up to 47040; without 15444 itself that is 31596, so 15444 is abundant (31596 is more than 15444). Euler's totient φ(15444) = 4320 numbers up to 15444 share no factor with it.
- 4
The digits of 15444 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15444 = 2^{2} \times 3^{3} \times 11 \times 13 \]15444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 47040 |
| Euler totient φ(n) | 4320 |
| Square | 238517136 |
| Cube | 3683658648384 |
| Square root | 124.273891 (= 6√429) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5444 × |
15444 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand four hundred and forty-four |
| Binary (base 2) | 11110001010100 |
| Octal (base 8) | 36124 |
| Hexadecimal (base 16) | 3C54 |
| Base 3 | 210012000 |
| As time | 15444 seconds = 4 h 17 min 24 s |
Is 15444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15444 ÷ 2 = 7722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15444 ÷ 3 = 5148) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15444 ÷ 4 = 3861) | 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 | Yes (15444 ÷ 6 = 2574) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (15444 ÷ 9 = 1716) | 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 | Yes (15444 ÷ 11 = 1404) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15444 ÷ 12 = 1287) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15444 a prime number?
No. 15444 = × × 11 × 13, so it is divisible by 2.
What are the factors of 15444?
1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39, 44, 52, 54, 66, 78, 99, 108, 117, 132, 143, 156, 198, 234, 286, 297, 351, 396, 429, 468, 572, 594, 702, 858, 1188, 1287, 1404, 1716, 2574, 3861, 5148, 7722, 15444.
What is 15444 in binary?
11110001010100 (hexadecimal 3C54, octal 36124).
What is the square root of 15444?
About 124.2739, exactly 6√429.
Is 15444 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15444?
15444 is a Harshad number: divisible by its digit sum 18.