The number 25340
25340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 181. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905 … 25340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25340: a Harshad number: divisible by its digit sum 14.
- 2
25340 is composite. Its prime factorisation is
- 3
The divisors add up to 61152; without 25340 itself that is 35812, so 25340 is abundant (35812 is more than 25340). Euler's totient φ(25340) = 8640 numbers up to 25340 share no factor with it.
- 4
The digits of 25340 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25340 = 2^{2} \times 5 \times 7 \times 181 \]25340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 61152 |
| Euler totient φ(n) | 8640 |
| Square | 642115600 |
| Cube | 16271209304000 |
| Square root | 159.185426 (= 2√6335) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.534 × |
25340 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand three hundred and forty |
| Binary (base 2) | 110001011111100 |
| Octal (base 8) | 61374 |
| Hexadecimal (base 16) | 62FC |
| Base 3 | 1021202112 |
| As time | 25340 seconds = 7 h 2 min 20 s |
Is 25340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25340 ÷ 2 = 12670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25340 ÷ 4 = 6335) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (25340 ÷ 5 = 5068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25340 ÷ 7 = 3620) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (25340 ÷ 10 = 2534) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25340 a prime number?
No. 25340 = × 5 × 7 × 181, so it is divisible by 2.
What are the factors of 25340?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 181, 362, 724, 905, 1267, 1810, 2534, 3620, 5068, 6335, 12670, 25340.
What is 25340 in binary?
110001011111100 (hexadecimal 62FC, octal 61374).
What is the square root of 25340?
About 159.1854, exactly 2√6335.
Is 25340 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 25340?
25340 is a Harshad number: divisible by its digit sum 14.