The number 51003
51003 is a composite number with 8 divisors. Its prime factorisation is × 1889. Divisors (8): 1, 3, 9, 27, 1889, 5667, 17001, 51003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51003: a Harshad number: divisible by its digit sum 9.
- 2
51003 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 51003 itself that is 24597, so 51003 is deficient (24597 is less than 51003). Euler's totient φ(51003) = 33984 numbers up to 51003 share no factor with it.
- 4
The digits of 51003 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51003 = 3^{3} \times 1889 \]51003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 33984 |
| Square | 2601306009 |
| Cube | 132674410377027 |
| Square root | 225.838438 (= 3√5667) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 5.1003 × |
51003 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand and three |
| Binary (base 2) | 1100011100111011 |
| Octal (base 8) | 143473 |
| Hexadecimal (base 16) | C73B |
| Base 3 | 2120222000 |
| As time | 51003 seconds = 14 h 10 min 3 s |
Is 51003 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 (51003 ÷ 3 = 17001) | 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 3) | 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 | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51003 ÷ 9 = 5667) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 51003 a prime number?
No. 51003 = × 1889, so it is divisible by 3.
What are the factors of 51003?
1, 3, 9, 27, 1889, 5667, 17001, 51003.
What is 51003 in binary?
1100011100111011 (hexadecimal C73B, octal 143473).
What is the square root of 51003?
About 225.8384, exactly 3√5667.
Is 51003 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 51003?
51003 is a Harshad number: divisible by its digit sum 9.