The number 52101
52101 is a composite number with 12 divisors. Its prime factorisation is × 7 × 827. Divisors (12): 1, 3, 7, 9, 21, 63, 827, 2481, 5789, 7443, 17367, 52101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52101: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
52101 is composite. Its prime factorisation is
- 3
The divisors add up to 86112; without 52101 itself that is 34011, so 52101 is deficient (34011 is less than 52101). Euler's totient φ(52101) = 29736 numbers up to 52101 share no factor with it.
- 4
The digits of 52101 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52101 = 3^{2} \times 7 \times 827 \]52101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86112 |
| Euler totient φ(n) | 29736 |
| Square | 2714514201 |
| Cube | 141428904386301 |
| Square root | 228.256435 (= 3√5789) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2101 × |
52101 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and one |
| Binary (base 2) | 1100101110000101 |
| Octal (base 8) | 145605 |
| Hexadecimal (base 16) | CB85 |
| Base 3 | 2122110200 |
| As time | 52101 seconds = 14 h 28 min 21 s |
Is 52101 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52101 ÷ 3 = 17367) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52101 ÷ 7 = 7443) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52101 ÷ 9 = 5789) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52101 a prime number?
No. 52101 = × 7 × 827, so it is divisible by 3.
What are the factors of 52101?
1, 3, 7, 9, 21, 63, 827, 2481, 5789, 7443, 17367, 52101.
What is 52101 in binary?
1100101110000101 (hexadecimal CB85, octal 145605).
What is the square root of 52101?
About 228.2564, exactly 3√5789.
Is 52101 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 52101?
52101 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.