The number 26250
26250 is a composite number with 40 divisors. Its prime factorisation is 2 × 3 × × 7. Divisors (40): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70 … 26250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26250: a Harshad number: divisible by its digit sum 15.
- 2
26250 is composite. Its prime factorisation is
- 3
The divisors add up to 74976; without 26250 itself that is 48726, so 26250 is abundant (48726 is more than 26250). Euler's totient φ(26250) = 6000 numbers up to 26250 share no factor with it.
- 4
The digits of 26250 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26250 = 2 \times 3 \times 5^{4} \times 7 \]26250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 74976 |
| Euler totient φ(n) | 6000 |
| Square | 689062500 |
| Cube | 18087890625000 |
| Square root | 162.018517 (= 25√42) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.625 × |
26250 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred and fifty |
| Binary (base 2) | 110011010001010 |
| Octal (base 8) | 63212 |
| Hexadecimal (base 16) | 668A |
| Base 3 | 1100000020 |
| As time | 26250 seconds = 7 h 17 min 30 s |
Is 26250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26250 ÷ 2 = 13125) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26250 ÷ 3 = 8750) | 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 | Yes (26250 ÷ 5 = 5250) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (26250 ÷ 6 = 4375) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (26250 ÷ 7 = 3750) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (26250 ÷ 10 = 2625) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26250 a prime number?
No. 26250 = 2 × 3 × × 7, so it is divisible by 2.
What are the factors of 26250?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 625, 750, 875, 1050, 1250, 1750, 1875, 2625, 3750, 4375, 5250, 8750, 13125, 26250.
What is 26250 in binary?
110011010001010 (hexadecimal 668A, octal 63212).
What is the square root of 26250?
About 162.0185, exactly 25√42.
Is 26250 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 26250?
26250 is a Harshad number: divisible by its digit sum 15.