The number 15552
15552 is a composite number with 42 divisors. Its prime factorisation is × . Divisors (42): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54 … 15552.
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How to work it out
- 1
What is special about 15552: a Harshad number: divisible by its digit sum 18.
- 2
15552 is composite. Its prime factorisation is
- 3
The divisors add up to 46228; without 15552 itself that is 30676, so 15552 is abundant (30676 is more than 15552). Euler's totient φ(15552) = 5184 numbers up to 15552 share no factor with it.
- 4
The digits of 15552 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 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15552 = 2^{6} \times 3^{5} \]15552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 46228 |
| Euler totient φ(n) | 5184 |
| Square | 241864704 |
| Cube | 3761479876608 |
| Square root | 124.707658 (= 72√3) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.5552 × |
15552 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand five hundred and fifty-two |
| Binary (base 2) | 11110011000000 |
| Octal (base 8) | 36300 |
| Hexadecimal (base 16) | 3CC0 |
| Base 3 | 210100000 |
| As time | 15552 seconds = 4 h 19 min 12 s |
Is 15552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15552 ÷ 2 = 7776) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15552 ÷ 3 = 5184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15552 ÷ 4 = 3888) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15552 ÷ 6 = 2592) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (15552 ÷ 8 = 1944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15552 ÷ 9 = 1728) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (15552 ÷ 12 = 1296) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15552 a prime number?
No. 15552 = × , so it is divisible by 2.
What are the factors of 15552?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552.
What is 15552 in binary?
11110011000000 (hexadecimal 3CC0, octal 36300).
What is the square root of 15552?
About 124.7077, exactly 72√3.
Is 15552 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 15552?
15552 is a Harshad number: divisible by its digit sum 18.