The number 25074
25074 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 199. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194 … 25074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25074: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
25074 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 25074 itself that is 37326, so 25074 is abundant (37326 is more than 25074). Euler's totient φ(25074) = 7128 numbers up to 25074 share no factor with it.
- 4
The digits of 25074 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25074 = 2 \times 3^{2} \times 7 \times 199 \]25074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 7128 |
| Square | 628705476 |
| Cube | 15764161105224 |
| Square root | 158.347719 (= 3√2786) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.5074 × |
25074 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and seventy-four |
| Binary (base 2) | 110000111110010 |
| Octal (base 8) | 60762 |
| Hexadecimal (base 16) | 61F2 |
| Base 3 | 1021101200 |
| As time | 25074 seconds = 6 h 57 min 54 s |
Is 25074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25074 ÷ 2 = 12537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25074 ÷ 3 = 8358) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (25074 ÷ 6 = 4179) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25074 ÷ 7 = 3582) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25074 ÷ 9 = 2786) | 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 5) | 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 25074 a prime number?
No. 25074 = 2 × × 7 × 199, so it is divisible by 2.
What are the factors of 25074?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 8358, 12537, 25074.
What is 25074 in binary?
110000111110010 (hexadecimal 61F2, octal 60762).
What is the square root of 25074?
About 158.3477, exactly 3√2786.
Is 25074 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25074?
25074 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.