The number 25048
25048 is a composite number with 16 divisors. Its prime factorisation is × 31 × 101. Divisors (16): 1, 2, 4, 8, 31, 62, 101, 124, 202, 248, 404, 808, 3131, 6262, 12524, 25048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25048 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 25048 itself that is 23912, so 25048 is deficient (23912 is less than 25048). Euler's totient φ(25048) = 12000 numbers up to 25048 share no factor with it.
- 4
The digits of 25048 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25048 = 2^{3} \times 31 \times 101 \]25048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 12000 |
| Square | 627402304 |
| Cube | 15715172910592 |
| Square root | 158.265600 (= 2√6262) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.5048 × |
25048 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and forty-eight |
| Binary (base 2) | 110000111011000 |
| Octal (base 8) | 60730 |
| Hexadecimal (base 16) | 61D8 |
| Base 3 | 1021100201 |
| As time | 25048 seconds = 6 h 57 min 28 s |
Is 25048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25048 ÷ 2 = 12524) | 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 (25048 ÷ 4 = 6262) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (25048 ÷ 8 = 3131) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | 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 25048 a prime number?
No. 25048 = × 31 × 101, so it is divisible by 2.
What are the factors of 25048?
1, 2, 4, 8, 31, 62, 101, 124, 202, 248, 404, 808, 3131, 6262, 12524, 25048.
What is 25048 in binary?
110000111011000 (hexadecimal 61D8, octal 60730).
What is the square root of 25048?
About 158.2656, exactly 2√6262.
Is 25048 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 25048?
25048 is a happy number: repeatedly adding the squares of its digits reaches 1.