The number 25002
25002 is a composite number with 16 divisors. Its prime factorisation is 2 × × 463. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 463, 926, 1389, 2778, 4167, 8334, 12501, 25002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25002: a Harshad number: divisible by its digit sum 9.
- 2
25002 is composite. Its prime factorisation is
- 3
The divisors add up to 55680; without 25002 itself that is 30678, so 25002 is abundant (30678 is more than 25002). Euler's totient φ(25002) = 8316 numbers up to 25002 share no factor with it.
- 4
The digits of 25002 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25002 = 2 \times 3^{3} \times 463 \]25002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 55680 |
| Euler totient φ(n) | 8316 |
| Square | 625100004 |
| Cube | 15628750300008 |
| Square root | 158.120207 (= 3√2778) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5002 × |
25002 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and two |
| Binary (base 2) | 110000110101010 |
| Octal (base 8) | 60652 |
| Hexadecimal (base 16) | 61AA |
| Base 3 | 1021022000 |
| As time | 25002 seconds = 6 h 56 min 42 s |
Is 25002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25002 ÷ 2 = 12501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25002 ÷ 3 = 8334) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (25002 ÷ 6 = 4167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25002 ÷ 9 = 2778) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25002 a prime number?
No. 25002 = 2 × × 463, so it is divisible by 2.
What are the factors of 25002?
1, 2, 3, 6, 9, 18, 27, 54, 463, 926, 1389, 2778, 4167, 8334, 12501, 25002.
What is 25002 in binary?
110000110101010 (hexadecimal 61AA, octal 60652).
What is the square root of 25002?
About 158.1202, exactly 3√2778.
Is 25002 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 25002?
25002 is a Harshad number: divisible by its digit sum 9.