The number 25011
25011 is a composite number with 12 divisors. Its prime factorisation is × 7 × 397. Divisors (12): 1, 3, 7, 9, 21, 63, 397, 1191, 2779, 3573, 8337, 25011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25011: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
25011 is composite. Its prime factorisation is
- 3
The divisors add up to 41392; without 25011 itself that is 16381, so 25011 is deficient (16381 is less than 25011). Euler's totient φ(25011) = 14256 numbers up to 25011 share no factor with it.
- 4
The digits of 25011 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25011 = 3^{2} \times 7 \times 397 \]25011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41392 |
| Euler totient φ(n) | 14256 |
| Square | 625550121 |
| Cube | 15645634076331 |
| Square root | 158.148664 (= 3√2779) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.5011 × |
25011 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand and eleven |
| Binary (base 2) | 110000110110011 |
| Octal (base 8) | 60663 |
| Hexadecimal (base 16) | 61B3 |
| Base 3 | 1021022100 |
| As time | 25011 seconds = 6 h 56 min 51 s |
Is 25011 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25011 ÷ 3 = 8337) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25011 ÷ 7 = 3573) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25011 ÷ 9 = 2779) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25011 a prime number?
No. 25011 = × 7 × 397, so it is divisible by 3.
What are the factors of 25011?
1, 3, 7, 9, 21, 63, 397, 1191, 2779, 3573, 8337, 25011.
What is 25011 in binary?
110000110110011 (hexadecimal 61B3, octal 60663).
What is the square root of 25011?
About 158.1487, exactly 3√2779.
Is 25011 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 25011?
25011 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.