The number 2600
2600 is a composite number with 24 divisors. Its prime factorisation is × × 13. Divisors (24): 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104 … 2600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2600: a Harshad number: divisible by its digit sum 8.
- 2
2600 is composite. Its prime factorisation is
- 3
The divisors add up to 6510; without 2600 itself that is 3910, so 2600 is abundant (3910 is more than 2600). Euler's totient φ(2600) = 960 numbers up to 2600 share no factor with it.
- 4
The digits of 2600 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
\[ 2600 = 2^{3} \times 5^{2} \times 13 \]2600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6510 |
| Euler totient φ(n) | 960 |
| Square | 6760000 |
| Cube | 17576000000 |
| Square root | 50.990195 (= 10√26) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.6 × |
2600 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred |
| Roman numerals | MMDC |
| Binary (base 2) | 101000101000 |
| Octal (base 8) | 5050 |
| Hexadecimal (base 16) | A28 |
| Base 3 | 10120022 |
| As time | 2600 seconds = 43 min 20 s |
Is 2600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2600 ÷ 2 = 1300) | 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 | Yes (2600 ÷ 4 = 650) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2600 ÷ 5 = 520) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (2600 ÷ 8 = 325) | 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 | Yes (2600 ÷ 10 = 260) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2600 a prime number?
No. 2600 = × × 13, so it is divisible by 2.
What are the factors of 2600?
1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600.
What is 2600 in binary?
101000101000 (hexadecimal A28, octal 5050).
What is the square root of 2600?
About 50.9902, exactly 10√26.
What is 2600 in Roman numerals?
MMDC.
Is 2600 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2600?
2600 is a Harshad number: divisible by its digit sum 8.