The number 52003
52003 is a triangular number: 1 + 2 + … + 322 = 52003. Its prime factorisation is 7 × 17 × 19 × 23. Divisors (16): 1, 7, 17, 19, 23, 119, 133, 161, 323, 391, 437, 2261, 2737, 3059, 7429, 52003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52003: a triangular number: 1 + 2 + … + 322 = 52003.
- 2
52003 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 52003 itself that is 17117, so 52003 is deficient (17117 is less than 52003). Euler's totient φ(52003) = 38016 numbers up to 52003 share no factor with it.
- 4
The digits of 52003 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52003 = 7 \times 17 \times 19 \times 23 \]
52003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 38016 |
| Square | 2704312009 |
| Cube | 140632337404027 |
| Square root | 228.041663 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2003 × |
52003 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand and three |
| Binary (base 2) | 1100101100100011 |
| Octal (base 8) | 145443 |
| Hexadecimal (base 16) | CB23 |
| Base 3 | 2122100001 |
| As time | 52003 seconds = 14 h 26 min 43 s |
Is 52003 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (52003 ÷ 7 = 7429) | 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 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52003 a prime number?
No. 52003 = 7 × 17 × 19 × 23, so it is divisible by 7.
What are the factors of 52003?
1, 7, 17, 19, 23, 119, 133, 161, 323, 391, 437, 2261, 2737, 3059, 7429, 52003.
What is 52003 in binary?
1100101100100011 (hexadecimal CB23, octal 145443).
What is the square root of 52003?
About 228.0417.
Is 52003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 52003?
52003 is a triangular number: 1 + 2 + … + 322 = 52003.