The number 25350
25350 is a composite number with 36 divisors. Its prime factorisation is 2 × 3 × × . Divisors (36): 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78 … 25350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25350: a Harshad number: divisible by its digit sum 15.
- 2
25350 is composite. Its prime factorisation is
- 3
The divisors add up to 68076; without 25350 itself that is 42726, so 25350 is abundant (42726 is more than 25350). Euler's totient φ(25350) = 6240 numbers up to 25350 share no factor with it.
- 4
The digits of 25350 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25350 = 2 \times 3 \times 5^{2} \times 13^{2} \]25350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 68076 |
| Euler totient φ(n) | 6240 |
| Square | 642622500 |
| Cube | 16290480375000 |
| Square root | 159.216833 (= 65√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.535 × |
25350 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and fifty |
| Binary (base 2) | 110001100000110 |
| Octal (base 8) | 61406 |
| Hexadecimal (base 16) | 6306 |
| Base 3 | 1021202220 |
| As time | 25350 seconds = 7 h 2 min 30 s |
Is 25350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25350 ÷ 2 = 12675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25350 ÷ 3 = 8450) | 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 (25350 ÷ 5 = 5070) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25350 ÷ 6 = 4225) | 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 | No (remainder 6) | 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 (25350 ÷ 10 = 2535) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25350 a prime number?
No. 25350 = 2 × 3 × × , so it is divisible by 2.
What are the factors of 25350?
1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 169, 195, 325, 338, 390, 507, 650, 845, 975, 1014, 1690, 1950, 2535, 4225, 5070, 8450, 12675, 25350.
What is 25350 in binary?
110001100000110 (hexadecimal 6306, octal 61406).
What is the square root of 25350?
About 159.2168, exactly 65√6.
Is 25350 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 25350?
25350 is a Harshad number: divisible by its digit sum 15.