The number 51204
51204 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 251. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 251, 502, 753, 1004 … 51204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51204: a Harshad number: divisible by its digit sum 12.
- 2
51204 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 51204 itself that is 75804, so 51204 is abundant (75804 is more than 51204). Euler's totient φ(51204) = 16000 numbers up to 51204 share no factor with it.
- 4
The digits of 51204 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51204 = 2^{2} \times 3 \times 17 \times 251 \]51204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 16000 |
| Square | 2621849616 |
| Cube | 134249187737664 |
| Square root | 226.283009 (= 2√12801) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1204 × |
51204 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand two hundred and four |
| Binary (base 2) | 1100100000000100 |
| Octal (base 8) | 144004 |
| Hexadecimal (base 16) | C804 |
| Base 3 | 2121020110 |
| As time | 51204 seconds = 14 h 13 min 24 s |
Is 51204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51204 ÷ 2 = 25602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51204 ÷ 3 = 17068) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51204 ÷ 4 = 12801) | 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 | Yes (51204 ÷ 6 = 8534) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51204 ÷ 12 = 4267) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51204 a prime number?
No. 51204 = × 3 × 17 × 251, so it is divisible by 2.
What are the factors of 51204?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 251, 502, 753, 1004, 1506, 3012, 4267, 8534, 12801, 17068, 25602, 51204.
What is 51204 in binary?
1100100000000100 (hexadecimal C804, octal 144004).
What is the square root of 51204?
About 226.2830, exactly 2√12801.
Is 51204 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 51204?
51204 is a Harshad number: divisible by its digit sum 12.