The number 2502
2502 is a composite number with 12 divisors. Its prime factorisation is 2 × × 139. Divisors (12): 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2502: a Harshad number: divisible by its digit sum 9.
- 2
2502 is composite. Its prime factorisation is
- 3
The divisors add up to 5460; without 2502 itself that is 2958, so 2502 is abundant (2958 is more than 2502). Euler's totient φ(2502) = 828 numbers up to 2502 share no factor with it.
- 4
The digits of 2502 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2502 = 2 \times 3^{2} \times 139 \]2502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5460 |
| Euler totient φ(n) | 828 |
| Square | 6260004 |
| Cube | 15662530008 |
| Square root | 50.019996 (= 3√278) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.502 × |
2502 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and two |
| Roman numerals | MMDII |
| Binary (base 2) | 100111000110 |
| Octal (base 8) | 4706 |
| Hexadecimal (base 16) | 9C6 |
| Base 3 | 10102200 |
| As time | 2502 seconds = 41 min 42 s |
Is 2502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2502 ÷ 2 = 1251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2502 ÷ 3 = 834) | 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 (2502 ÷ 6 = 417) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2502 ÷ 9 = 278) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2502 a prime number?
No. 2502 = 2 × × 139, so it is divisible by 2.
What are the factors of 2502?
1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502.
What is 2502 in binary?
100111000110 (hexadecimal 9C6, octal 4706).
What is the square root of 2502?
About 50.0200, exactly 3√278.
What is 2502 in Roman numerals?
MMDII.
Is 2502 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2502?
2502 is a Harshad number: divisible by its digit sum 9.