The number 25003
25003 is a composite number with 4 divisors. Its prime factorisation is 11 × 2273. Divisors (4): 1, 11, 2273, 25003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25003: a semiprime: 11 × 2273, the product of two primes.
- 2
25003 is composite. Its prime factorisation is
- 3
The divisors add up to 27288; without 25003 itself that is 2285, so 25003 is deficient (2285 is less than 25003). Euler's totient φ(25003) = 22720 numbers up to 25003 share no factor with it.
- 4
The digits of 25003 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25003 = 11 \times 2273 \]
25003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27288 |
| Euler totient φ(n) | 22720 |
| Square | 625150009 |
| Cube | 15630625675027 |
| Square root | 158.123370 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.5003 × |
25003 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and three |
| Binary (base 2) | 110000110101011 |
| Octal (base 8) | 60653 |
| Hexadecimal (base 16) | 61AB |
| Base 3 | 1021022001 |
| As time | 25003 seconds = 6 h 56 min 43 s |
Is 25003 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 | 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 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 | Yes (25003 ÷ 11 = 2273) | 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 25003 a prime number?
No. 25003 = 11 × 2273, so it is divisible by 11.
What are the factors of 25003?
1, 11, 2273, 25003.
What is 25003 in binary?
110000110101011 (hexadecimal 61AB, octal 60653).
What is the square root of 25003?
About 158.1234.
Is 25003 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 25003?
25003 is a semiprime: 11 × 2273, the product of two primes.