The number 52998
52998 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 73. Divisors (24): 1, 2, 3, 6, 11, 22, 33, 66, 73, 121, 146, 219, 242, 363, 438, 726 … 52998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52998: a Harshad number: divisible by its digit sum 33.
- 2
52998 is composite. Its prime factorisation is
- 3
The divisors add up to 118104; without 52998 itself that is 65106, so 52998 is abundant (65106 is more than 52998). Euler's totient φ(52998) = 15840 numbers up to 52998 share no factor with it.
- 4
The digits of 52998 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52998 = 2 \times 3 \times 11^{2} \times 73 \]52998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118104 |
| Euler totient φ(n) | 15840 |
| Square | 2808788004 |
| Cube | 148860146635992 |
| Square root | 230.212945 (= 11√438) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2998 × |
52998 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand nine hundred and ninety-eight |
| Binary (base 2) | 1100111100000110 |
| Octal (base 8) | 147406 |
| Hexadecimal (base 16) | CF06 |
| Base 3 | 2200200220 |
| As time | 52998 seconds = 14 h 43 min 18 s |
Is 52998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52998 ÷ 2 = 26499) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52998 ÷ 3 = 17666) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52998 ÷ 6 = 8833) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (52998 ÷ 11 = 4818) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52998 a prime number?
No. 52998 = 2 × 3 × × 73, so it is divisible by 2.
What are the factors of 52998?
1, 2, 3, 6, 11, 22, 33, 66, 73, 121, 146, 219, 242, 363, 438, 726, 803, 1606, 2409, 4818, 8833, 17666, 26499, 52998.
What is 52998 in binary?
1100111100000110 (hexadecimal CF06, octal 147406).
What is the square root of 52998?
About 230.2129, exactly 11√438.
Is 52998 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 52998?
52998 is a Harshad number: divisible by its digit sum 33.