The number 52675
52675 is a composite number with 18 divisors. Its prime factorisation is × × 43. Divisors (18): 1, 5, 7, 25, 35, 43, 49, 175, 215, 245, 301, 1075, 1225, 1505, 2107, 7525 … 52675.
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How to work it out
- 1
What is special about 52675: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.
- 2
52675 is composite. Its prime factorisation is
- 3
The divisors add up to 77748; without 52675 itself that is 25073, so 52675 is deficient (25073 is less than 52675). Euler's totient φ(52675) = 35280 numbers up to 52675 share no factor with it.
- 4
The digits of 52675 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52675 = 5^{2} \times 7^{2} \times 43 \]52675 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 77748 |
| Euler totient φ(n) | 35280 |
| Square | 2774655625 |
| Cube | 146154985046875 |
| Square root | 229.510348 (= 35√43) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.2675 × |
52675 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand six hundred and seventy-five |
| Binary (base 2) | 1100110111000011 |
| Octal (base 8) | 146703 |
| Hexadecimal (base 16) | CDC3 |
| Base 3 | 2200020221 |
| As time | 52675 seconds = 14 h 37 min 55 s |
Is 52675 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52675 ÷ 5 = 10535) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52675 ÷ 7 = 7525) | 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 3) | 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 5) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52675 a prime number?
No. 52675 = × × 43, so it is divisible by 5.
What are the factors of 52675?
1, 5, 7, 25, 35, 43, 49, 175, 215, 245, 301, 1075, 1225, 1505, 2107, 7525, 10535, 52675.
What is 52675 in binary?
1100110111000011 (hexadecimal CDC3, octal 146703).
What is the square root of 52675?
About 229.5103, exactly 35√43.
Is 52675 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 52675?
52675 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 25.