The number 25407
25407 is a composite number with 8 divisors. Its prime factorisation is × 941. Divisors (8): 1, 3, 9, 27, 941, 2823, 8469, 25407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25407: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
25407 is composite. Its prime factorisation is
- 3
The divisors add up to 37680; without 25407 itself that is 12273, so 25407 is deficient (12273 is less than 25407). Euler's totient φ(25407) = 16920 numbers up to 25407 share no factor with it.
- 4
The digits of 25407 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25407 = 3^{3} \times 941 \]25407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37680 |
| Euler totient φ(n) | 16920 |
| Square | 645515649 |
| Cube | 16400616094143 |
| Square root | 159.395734 (= 3√2823) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.5407 × |
25407 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand four hundred and seven |
| Binary (base 2) | 110001100111111 |
| Octal (base 8) | 61477 |
| Hexadecimal (base 16) | 633F |
| Base 3 | 1021212000 |
| As time | 25407 seconds = 7 h 3 min 27 s |
Is 25407 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 (25407 ÷ 3 = 8469) | 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 2) | 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 | No (remainder 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25407 ÷ 9 = 2823) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 25407 a prime number?
No. 25407 = × 941, so it is divisible by 3.
What are the factors of 25407?
1, 3, 9, 27, 941, 2823, 8469, 25407.
What is 25407 in binary?
110001100111111 (hexadecimal 633F, octal 61477).
What is the square root of 25407?
About 159.3957, exactly 3√2823.
Is 25407 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25407?
25407 is a happy number: repeatedly adding the squares of its digits reaches 1.