The number 25024
25024 is a composite number with 28 divisors. Its prime factorisation is × 17 × 23. Divisors (28): 1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 64, 68, 92, 136, 184, 272 … 25024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25024: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25024 is composite. Its prime factorisation is
- 3
The divisors add up to 54864; without 25024 itself that is 29840, so 25024 is abundant (29840 is more than 25024). Euler's totient φ(25024) = 11264 numbers up to 25024 share no factor with it.
- 4
The digits of 25024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25024 = 2^{6} \times 17 \times 23 \]25024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 54864 |
| Euler totient φ(n) | 11264 |
| Square | 626200576 |
| Cube | 15670043213824 |
| Square root | 158.189759 (= 8√391) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5024 × |
25024 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and twenty-four |
| Binary (base 2) | 110000111000000 |
| Octal (base 8) | 60700 |
| Hexadecimal (base 16) | 61C0 |
| Base 3 | 1021022211 |
| As time | 25024 seconds = 6 h 57 min 4 s |
Is 25024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25024 ÷ 2 = 12512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25024 ÷ 4 = 6256) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (25024 ÷ 8 = 3128) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25024 a prime number?
No. 25024 = × 17 × 23, so it is divisible by 2.
What are the factors of 25024?
1, 2, 4, 8, 16, 17, 23, 32, 34, 46, 64, 68, 92, 136, 184, 272, 368, 391, 544, 736, 782, 1088, 1472, 1564, 3128, 6256, 12512, 25024.
What is 25024 in binary?
110000111000000 (hexadecimal 61C0, octal 60700).
What is the square root of 25024?
About 158.1898, exactly 8√391.
Is 25024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 25024?
25024 is a happy number: repeatedly adding the squares of its digits reaches 1.