The number 2501
2501 is a composite number with 4 divisors. Its prime factorisation is 41 × 61. Divisors (4): 1, 41, 61, 2501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2501: a semiprime: 41 × 61, the product of two primes.
- 2
2501 is composite. Its prime factorisation is
- 3
The divisors add up to 2604; without 2501 itself that is 103, so 2501 is deficient (103 is less than 2501). Euler's totient φ(2501) = 2400 numbers up to 2501 share no factor with it.
- 4
The digits of 2501 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2501 = 41 \times 61 \]
2501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2604 |
| Euler totient φ(n) | 2400 |
| Square | 6255001 |
| Cube | 15643757501 |
| Square root | 50.009999 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.501 × |
2501 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and one |
| Roman numerals | MMDI |
| Binary (base 2) | 100111000101 |
| Octal (base 8) | 4705 |
| Hexadecimal (base 16) | 9C5 |
| Base 3 | 10102122 |
| As time | 2501 seconds = 41 min 41 s |
Is 2501 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2501 a prime number?
No. 2501 = 41 × 61, so it is divisible by 41.
What are the factors of 2501?
1, 41, 61, 2501.
What is 2501 in binary?
100111000101 (hexadecimal 9C5, octal 4705).
What is the square root of 2501?
About 50.0100.
What is 2501 in Roman numerals?
MMDI.
Is 2501 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2501?
2501 is a semiprime: 41 × 61, the product of two primes.