The number 25272
25272 is a composite number with 48 divisors. Its prime factorisation is × × 13. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52 … 25272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 25272: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
25272 is composite. Its prime factorisation is
- 3
The divisors add up to 76440; without 25272 itself that is 51168, so 25272 is abundant (51168 is more than 25272). Euler's totient φ(25272) = 7776 numbers up to 25272 share no factor with it.
- 4
The digits of 25272 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 25272 = 2^{3} \times 3^{5} \times 13 \]25272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 76440 |
| Euler totient φ(n) | 7776 |
| Square | 638673984 |
| Cube | 16140568923648 |
| Square root | 158.971696 (= 18√78) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 126 |
| Scientific notation | 2.5272 × |
25272 in other forms
| Form | Value |
|---|---|
| In words | twenty-five thousand two hundred and seventy-two |
| Binary (base 2) | 110001010111000 |
| Octal (base 8) | 61270 |
| Hexadecimal (base 16) | 62B8 |
| Base 3 | 1021200000 |
| As time | 25272 seconds = 7 h 1 min 12 s |
Is 25272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (25272 ÷ 2 = 12636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (25272 ÷ 3 = 8424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (25272 ÷ 4 = 6318) | 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 | Yes (25272 ÷ 6 = 4212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (25272 ÷ 8 = 3159) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (25272 ÷ 9 = 2808) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (25272 ÷ 12 = 2106) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 25272 a prime number?
No. 25272 = × × 13, so it is divisible by 2.
What are the factors of 25272?
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 81, 104, 108, 117, 156, 162, 216, 234, 243, 312, 324, 351, 468, 486, 648, 702, 936, 972, 1053, 1404, 1944, 2106, 2808, 3159, 4212, 6318, 8424, 12636, 25272.
What is 25272 in binary?
110001010111000 (hexadecimal 62B8, octal 61270).
What is the square root of 25272?
About 158.9717, exactly 18√78.
Is 25272 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 25272?
25272 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.