The number 52122
52122 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 17 × 73. Divisors (32): 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 73, 102, 119, 146, 219 … 52122.
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How to work it out
- 1
52122 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52122 is composite. Its prime factorisation is
- 3
The divisors add up to 127872; without 52122 itself that is 75750, so 52122 is abundant (75750 is more than 52122). Euler's totient φ(52122) = 13824 numbers up to 52122 share no factor with it.
- 4
The digits of 52122 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52122 = 2 \times 3 \times 7 \times 17 \times 73 \]
52122 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 127872 |
| Euler totient φ(n) | 13824 |
| Square | 2716702884 |
| Cube | 141599987719848 |
| Square root | 228.302431 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.2122 × |
52122 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and twenty-two |
| Binary (base 2) | 1100101110011010 |
| Octal (base 8) | 145632 |
| Hexadecimal (base 16) | CB9A |
| Base 3 | 2122111110 |
| As time | 52122 seconds = 14 h 28 min 42 s |
Is 52122 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52122 ÷ 2 = 26061) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52122 ÷ 3 = 17374) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (52122 ÷ 6 = 8687) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52122 ÷ 7 = 7446) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52122 a prime number?
No. 52122 = 2 × 3 × 7 × 17 × 73, so it is divisible by 2.
What are the factors of 52122?
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 73, 102, 119, 146, 219, 238, 357, 438, 511, 714, 1022, 1241, 1533, 2482, 3066, 3723, 7446, 8687, 17374, 26061, 52122.
What is 52122 in binary?
1100101110011010 (hexadecimal CB9A, octal 145632).
What is the square root of 52122?
About 228.3024.
Is 52122 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 52122?
It is a composite number with 32 divisors.