The number 12552
12552 is a composite number with 16 divisors. Its prime factorisation is × 3 × 523. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 523, 1046, 1569, 2092, 3138, 4184, 6276, 12552.
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How to work it out
- 1
12552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12552 is composite. Its prime factorisation is
- 3
The divisors add up to 31440; without 12552 itself that is 18888, so 12552 is abundant (18888 is more than 12552). Euler's totient φ(12552) = 4176 numbers up to 12552 share no factor with it.
- 4
The digits of 12552 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12552 = 2^{3} \times 3 \times 523 \]12552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31440 |
| Euler totient φ(n) | 4176 |
| Square | 157552704 |
| Cube | 1977601540608 |
| Square root | 112.035709 (= 2√3138) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2552 × |
12552 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand five hundred and fifty-two |
| Binary (base 2) | 11000100001000 |
| Octal (base 8) | 30410 |
| Hexadecimal (base 16) | 3108 |
| Base 3 | 122012220 |
| As time | 12552 seconds = 3 h 29 min 12 s |
Is 12552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12552 ÷ 2 = 6276) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12552 ÷ 3 = 4184) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12552 ÷ 4 = 3138) | 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 (12552 ÷ 6 = 2092) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (12552 ÷ 8 = 1569) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12552 ÷ 12 = 1046) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12552 a prime number?
No. 12552 = × 3 × 523, so it is divisible by 2.
What are the factors of 12552?
1, 2, 3, 4, 6, 8, 12, 24, 523, 1046, 1569, 2092, 3138, 4184, 6276, 12552.
What is 12552 in binary?
11000100001000 (hexadecimal 3108, octal 30410).
What is the square root of 12552?
About 112.0357, exactly 2√3138.
Is 12552 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12552?
It is a composite number with 16 divisors.