The number 25988
25988 is a composite number with 12 divisors. Its prime factorisation is × 73 × 89. Divisors (12): 1, 2, 4, 73, 89, 146, 178, 292, 356, 6497, 12994, 25988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
25988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
25988 is composite. Its prime factorisation is
- 3
The divisors add up to 46620; without 25988 itself that is 20632, so 25988 is deficient (20632 is less than 25988). Euler's totient φ(25988) = 12672 numbers up to 25988 share no factor with it.
- 4
The digits of 25988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25988 = 2^{2} \times 73 \times 89 \]25988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 46620 |
| Euler totient φ(n) | 12672 |
| Square | 675376144 |
| Cube | 17551675230272 |
| Square root | 161.207940 (= 2√6497) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5988 × |
25988 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and eighty-eight |
| Binary (base 2) | 110010110000100 |
| Octal (base 8) | 62604 |
| Hexadecimal (base 16) | 6584 |
| Base 3 | 1022122112 |
| As time | 25988 seconds = 7 h 13 min 8 s |
Is 25988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25988 ÷ 2 = 12994) | 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 (25988 ÷ 4 = 6497) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 25988 a prime number?
No. 25988 = × 73 × 89, so it is divisible by 2.
What are the factors of 25988?
1, 2, 4, 73, 89, 146, 178, 292, 356, 6497, 12994, 25988.
What is 25988 in binary?
110010110000100 (hexadecimal 6584, octal 62604).
What is the square root of 25988?
About 161.2079, exactly 2√6497.
Is 25988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 25988?
It is a composite number with 12 divisors.