The number 25984
25984 is a composite number with 32 divisors. Its prime factorisation is × 7 × 29. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 128 … 25984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25984: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
25984 is composite. Its prime factorisation is
- 3
The divisors add up to 61200; without 25984 itself that is 35216, so 25984 is abundant (35216 is more than 25984). Euler's totient φ(25984) = 10752 numbers up to 25984 share no factor with it.
- 4
The digits of 25984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25984 = 2^{7} \times 7 \times 29 \]25984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 61200 |
| Euler totient φ(n) | 10752 |
| Square | 675168256 |
| Cube | 17543571963904 |
| Square root | 161.195533 (= 8√406) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.5984 × |
25984 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand nine hundred and eighty-four |
| Binary (base 2) | 110010110000000 |
| Octal (base 8) | 62600 |
| Hexadecimal (base 16) | 6580 |
| Base 3 | 1022122101 |
| As time | 25984 seconds = 7 h 13 min 4 s |
Is 25984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25984 ÷ 2 = 12992) | 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 (25984 ÷ 4 = 6496) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (25984 ÷ 7 = 3712) | 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 (25984 ÷ 8 = 3248) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 25984 a prime number?
No. 25984 = × 7 × 29, so it is divisible by 2.
What are the factors of 25984?
1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 128, 203, 224, 232, 406, 448, 464, 812, 896, 928, 1624, 1856, 3248, 3712, 6496, 12992, 25984.
What is 25984 in binary?
110010110000000 (hexadecimal 6580, octal 62600).
What is the square root of 25984?
About 161.1955, exactly 8√406.
Is 25984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 25984?
25984 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.