The number 26625
26625 is a composite number with 16 divisors. Its prime factorisation is 3 × × 71. Divisors (16): 1, 3, 5, 15, 25, 71, 75, 125, 213, 355, 375, 1065, 1775, 5325, 8875, 26625.
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How to work it out
- 1
26625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26625 is composite. Its prime factorisation is
- 3
The divisors add up to 44928; without 26625 itself that is 18303, so 26625 is deficient (18303 is less than 26625). Euler's totient φ(26625) = 14000 numbers up to 26625 share no factor with it.
- 4
The digits of 26625 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 214 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26625 = 3 \times 5^{3} \times 71 \]26625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44928 |
| Euler totient φ(n) | 14000 |
| Square | 708890625 |
| Cube | 18874212890625 |
| Square root | 163.171689 (= 5√1065) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 214 |
| Scientific notation | 2.6625 × |
26625 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and twenty-five |
| Binary (base 2) | 110100000000001 |
| Octal (base 8) | 64001 |
| Hexadecimal (base 16) | 6801 |
| Base 3 | 1100112010 |
| As time | 26625 seconds = 7 h 23 min 45 s |
Is 26625 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 (26625 ÷ 3 = 8875) | 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 (26625 ÷ 5 = 5325) | 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 | No (remainder 4) | 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 3) | 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 5) | 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 26625 a prime number?
No. 26625 = 3 × × 71, so it is divisible by 3.
What are the factors of 26625?
1, 3, 5, 15, 25, 71, 75, 125, 213, 355, 375, 1065, 1775, 5325, 8875, 26625.
What is 26625 in binary?
110100000000001 (hexadecimal 6801, octal 64001).
What is the square root of 26625?
About 163.1717, exactly 5√1065.
Is 26625 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26625?
It is a composite number with 16 divisors.