The number 52072
52072 is a composite number with 16 divisors. Its prime factorisation is × 23 × 283. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 283, 566, 1132, 2264, 6509, 13018, 26036, 52072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52072 is composite. Its prime factorisation is
- 3
The divisors add up to 102240; without 52072 itself that is 50168, so 52072 is deficient (50168 is less than 52072). Euler's totient φ(52072) = 24816 numbers up to 52072 share no factor with it.
- 4
The digits of 52072 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52072 = 2^{3} \times 23 \times 283 \]52072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102240 |
| Euler totient φ(n) | 24816 |
| Square | 2711493184 |
| Cube | 141192873077248 |
| Square root | 228.192901 (= 2√13018) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2072 × |
52072 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and seventy-two |
| Binary (base 2) | 1100101101101000 |
| Octal (base 8) | 145550 |
| Hexadecimal (base 16) | CB68 |
| Base 3 | 2122102121 |
| As time | 52072 seconds = 14 h 27 min 52 s |
Is 52072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52072 ÷ 2 = 26036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52072 ÷ 4 = 13018) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (52072 ÷ 8 = 6509) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52072 a prime number?
No. 52072 = × 23 × 283, so it is divisible by 2.
What are the factors of 52072?
1, 2, 4, 8, 23, 46, 92, 184, 283, 566, 1132, 2264, 6509, 13018, 26036, 52072.
What is 52072 in binary?
1100101101101000 (hexadecimal CB68, octal 145550).
What is the square root of 52072?
About 228.1929, exactly 2√13018.
Is 52072 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 52072?
52072 is a happy number: repeatedly adding the squares of its digits reaches 1.