The number 2625
2625 is a composite number with 16 divisors. Its prime factorisation is 3 × × 7. Divisors (16): 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2625: a Harshad number: divisible by its digit sum 15.
- 2
2625 is composite. Its prime factorisation is
- 3
The divisors add up to 4992; without 2625 itself that is 2367, so 2625 is deficient (2367 is less than 2625). Euler's totient φ(2625) = 1200 numbers up to 2625 share no factor with it.
- 4
The digits of 2625 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2625 = 3 \times 5^{3} \times 7 \]2625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4992 |
| Euler totient φ(n) | 1200 |
| Square | 6890625 |
| Cube | 18087890625 |
| Square root | 51.234754 (= 5√105) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.625 × |
2625 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and twenty-five |
| Roman numerals | MMDCXXV |
| Binary (base 2) | 101001000001 |
| Octal (base 8) | 5101 |
| Hexadecimal (base 16) | A41 |
| Base 3 | 10121020 |
| As time | 2625 seconds = 43 min 45 s |
Is 2625 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 | Yes (2625 ÷ 3 = 875) | 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 | Yes (2625 ÷ 5 = 525) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2625 ÷ 7 = 375) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2625 a prime number?
No. 2625 = 3 × × 7, so it is divisible by 3.
What are the factors of 2625?
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625.
What is 2625 in binary?
101001000001 (hexadecimal A41, octal 5101).
What is the square root of 2625?
About 51.2348, exactly 5√105.
What is 2625 in Roman numerals?
MMDCXXV.
Is 2625 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2625?
2625 is a Harshad number: divisible by its digit sum 15.