The number 52624
52624 is a composite number with 40 divisors. Its prime factorisation is × 11 × 13 × 23. Divisors (40): 1, 2, 4, 8, 11, 13, 16, 22, 23, 26, 44, 46, 52, 88, 92, 104 … 52624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52624 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 52624 itself that is 72368, so 52624 is abundant (72368 is more than 52624). Euler's totient φ(52624) = 21120 numbers up to 52624 share no factor with it.
- 4
The digits of 52624 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52624 = 2^{4} \times 11 \times 13 \times 23 \]52624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 21120 |
| Square | 2769285376 |
| Cube | 145730873626624 |
| Square root | 229.399215 (= 4√3289) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2624 × |
52624 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand six hundred and twenty-four |
| Binary (base 2) | 1100110110010000 |
| Octal (base 8) | 146620 |
| Hexadecimal (base 16) | CD90 |
| Base 3 | 2200012001 |
| As time | 52624 seconds = 14 h 37 min 4 s |
Is 52624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52624 ÷ 2 = 26312) | 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 (52624 ÷ 4 = 13156) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 5) | 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 (52624 ÷ 8 = 6578) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (52624 ÷ 11 = 4784) | 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 52624 a prime number?
No. 52624 = × 11 × 13 × 23, so it is divisible by 2.
What are the factors of 52624?
1, 2, 4, 8, 11, 13, 16, 22, 23, 26, 44, 46, 52, 88, 92, 104, 143, 176, 184, 208, 253, 286, 299, 368, 506, 572, 598, 1012, 1144, 1196, 2024, 2288, 2392, 3289, 4048, 4784, 6578, 13156, 26312, 52624.
What is 52624 in binary?
1100110110010000 (hexadecimal CD90, octal 146620).
What is the square root of 52624?
About 229.3992, exactly 4√3289.
Is 52624 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52624?
It is a composite number with 40 divisors.