The number 16752
16752 is a composite number with 20 divisors. Its prime factorisation is × 3 × 349. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 349, 698, 1047, 1396, 2094, 2792 … 16752.
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How to work it out
- 1
16752 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16752 is composite. Its prime factorisation is
- 3
The divisors add up to 43400; without 16752 itself that is 26648, so 16752 is abundant (26648 is more than 16752). Euler's totient φ(16752) = 5568 numbers up to 16752 share no factor with it.
- 4
The digits of 16752 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16752 = 2^{4} \times 3 \times 349 \]16752 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 43400 |
| Euler totient φ(n) | 5568 |
| Square | 280629504 |
| Cube | 4701105451008 |
| Square root | 129.429517 (= 4√1047) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6752 × |
16752 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and fifty-two |
| Binary (base 2) | 100000101110000 |
| Octal (base 8) | 40560 |
| Hexadecimal (base 16) | 4170 |
| Base 3 | 211222110 |
| As time | 16752 seconds = 4 h 39 min 12 s |
Is 16752 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16752 ÷ 2 = 8376) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16752 ÷ 3 = 5584) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16752 ÷ 4 = 4188) | 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 (16752 ÷ 6 = 2792) | 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 (16752 ÷ 8 = 2094) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16752 ÷ 12 = 1396) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16752 a prime number?
No. 16752 = × 3 × 349, so it is divisible by 2.
What are the factors of 16752?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376, 16752.
What is 16752 in binary?
100000101110000 (hexadecimal 4170, octal 40560).
What is the square root of 16752?
About 129.4295, exactly 4√1047.
Is 16752 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 16752?
It is a composite number with 20 divisors.