The number 52984
52984 is a composite number with 16 divisors. Its prime factorisation is × 37 × 179. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 179, 296, 358, 716, 1432, 6623, 13246, 26492, 52984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52984: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
52984 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 52984 itself that is 49616, so 52984 is deficient (49616 is less than 52984). Euler's totient φ(52984) = 25632 numbers up to 52984 share no factor with it.
- 4
The digits of 52984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52984 = 2^{3} \times 37 \times 179 \]52984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 25632 |
| Square | 2807304256 |
| Cube | 148742208699904 |
| Square root | 230.182536 (= 2√13246) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.2984 × |
52984 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and eighty-four |
| Binary (base 2) | 1100111011111000 |
| Octal (base 8) | 147370 |
| Hexadecimal (base 16) | CEF8 |
| Base 3 | 2200200101 |
| As time | 52984 seconds = 14 h 43 min 4 s |
Is 52984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52984 ÷ 2 = 26492) | 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 (52984 ÷ 4 = 13246) | 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 1) | 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 (52984 ÷ 8 = 6623) | 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 | No (remainder 8) | 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 52984 a prime number?
No. 52984 = × 37 × 179, so it is divisible by 2.
What are the factors of 52984?
1, 2, 4, 8, 37, 74, 148, 179, 296, 358, 716, 1432, 6623, 13246, 26492, 52984.
What is 52984 in binary?
1100111011111000 (hexadecimal CEF8, octal 147370).
What is the square root of 52984?
About 230.1825, exactly 2√13246.
Is 52984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 52984?
52984 is a happy number: repeatedly adding the squares of its digits reaches 1.