The number 52479
52479 is a composite number with 24 divisors. Its prime factorisation is × × 17. Divisors (24): 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 343, 357, 441, 833 … 52479.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52479 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52479 is composite. Its prime factorisation is
- 3
The divisors add up to 93600; without 52479 itself that is 41121, so 52479 is deficient (41121 is less than 52479). Euler's totient φ(52479) = 28224 numbers up to 52479 share no factor with it.
- 4
The digits of 52479 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52479 = 3^{2} \times 7^{3} \times 17 \]52479 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 93600 |
| Euler totient φ(n) | 28224 |
| Square | 2754045441 |
| Cube | 144529550698239 |
| Square root | 229.082954 (= 21√119) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.2479 × |
52479 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and seventy-nine |
| Binary (base 2) | 1100110011111111 |
| Octal (base 8) | 146377 |
| Hexadecimal (base 16) | CCFF |
| Base 3 | 2122222200 |
| As time | 52479 seconds = 14 h 34 min 39 s |
Is 52479 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 (52479 ÷ 3 = 17493) | 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 | No (remainder 4) | 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 (52479 ÷ 7 = 7497) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52479 ÷ 9 = 5831) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52479 a prime number?
No. 52479 = × × 17, so it is divisible by 3.
What are the factors of 52479?
1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 343, 357, 441, 833, 1029, 1071, 2499, 3087, 5831, 7497, 17493, 52479.
What is 52479 in binary?
1100110011111111 (hexadecimal CCFF, octal 146377).
What is the square root of 52479?
About 229.0830, exactly 21√119.
Is 52479 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 52479?
It is a composite number with 24 divisors.