The number 51012
51012 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 109. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 109, 117 … 51012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51012: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
51012 is composite. Its prime factorisation is
- 3
The divisors add up to 140140; without 51012 itself that is 89128, so 51012 is abundant (89128 is more than 51012). Euler's totient φ(51012) = 15552 numbers up to 51012 share no factor with it.
- 4
The digits of 51012 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51012 = 2^{2} \times 3^{2} \times 13 \times 109 \]51012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 140140 |
| Euler totient φ(n) | 15552 |
| Square | 2602224144 |
| Cube | 132744658033728 |
| Square root | 225.858363 (= 6√1417) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.1012 × |
51012 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and twelve |
| Binary (base 2) | 1100011101000100 |
| Octal (base 8) | 143504 |
| Hexadecimal (base 16) | C744 |
| Base 3 | 2120222100 |
| As time | 51012 seconds = 14 h 10 min 12 s |
Is 51012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51012 ÷ 2 = 25506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51012 ÷ 3 = 17004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51012 ÷ 4 = 12753) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (51012 ÷ 6 = 8502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (51012 ÷ 9 = 5668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (51012 ÷ 12 = 4251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51012 a prime number?
No. 51012 = × × 13 × 109, so it is divisible by 2.
What are the factors of 51012?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 109, 117, 156, 218, 234, 327, 436, 468, 654, 981, 1308, 1417, 1962, 2834, 3924, 4251, 5668, 8502, 12753, 17004, 25506, 51012.
What is 51012 in binary?
1100011101000100 (hexadecimal C744, octal 143504).
What is the square root of 51012?
About 225.8584, exactly 6√1417.
Is 51012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 51012?
51012 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.