The number 52972
52972 is a composite number with 24 divisors. Its prime factorisation is × 17 × 19 × 41. Divisors (24): 1, 2, 4, 17, 19, 34, 38, 41, 68, 76, 82, 164, 323, 646, 697, 779 … 52972.
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How to work it out
- 1
52972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52972 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 52972 itself that is 52868, so 52972 is deficient (52868 is less than 52972). Euler's totient φ(52972) = 23040 numbers up to 52972 share no factor with it.
- 4
The digits of 52972 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52972 = 2^{2} \times 17 \times 19 \times 41 \]52972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 23040 |
| Square | 2806032784 |
| Cube | 148641168634048 |
| Square root | 230.156469 (= 2√13243) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.2972 × |
52972 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and seventy-two |
| Binary (base 2) | 1100111011101100 |
| Octal (base 8) | 147354 |
| Hexadecimal (base 16) | CEEC |
| Base 3 | 2200122221 |
| As time | 52972 seconds = 14 h 42 min 52 s |
Is 52972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52972 ÷ 2 = 26486) | 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 (52972 ÷ 4 = 13243) | 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 3) | 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 4) | 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 7) | 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 52972 a prime number?
No. 52972 = × 17 × 19 × 41, so it is divisible by 2.
What are the factors of 52972?
1, 2, 4, 17, 19, 34, 38, 41, 68, 76, 82, 164, 323, 646, 697, 779, 1292, 1394, 1558, 2788, 3116, 13243, 26486, 52972.
What is 52972 in binary?
1100111011101100 (hexadecimal CEEC, octal 147354).
What is the square root of 52972?
About 230.1565, exactly 2√13243.
Is 52972 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 52972?
It is a composite number with 24 divisors.