The number 26552
26552 is a composite number with 8 divisors. Its prime factorisation is × 3319. Divisors (8): 1, 2, 4, 8, 3319, 6638, 13276, 26552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26552: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26552 is composite. Its prime factorisation is
- 3
The divisors add up to 49800; without 26552 itself that is 23248, so 26552 is deficient (23248 is less than 26552). Euler's totient φ(26552) = 13272 numbers up to 26552 share no factor with it.
- 4
The digits of 26552 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26552 = 2^{3} \times 3319 \]26552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49800 |
| Euler totient φ(n) | 13272 |
| Square | 705008704 |
| Cube | 18719391108608 |
| Square root | 162.947844 (= 2√6638) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.6552 × |
26552 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand five hundred and fifty-two |
| Binary (base 2) | 110011110111000 |
| Octal (base 8) | 63670 |
| Hexadecimal (base 16) | 67B8 |
| Base 3 | 1100102102 |
| As time | 26552 seconds = 7 h 22 min 32 s |
Is 26552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26552 ÷ 2 = 13276) | 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 (26552 ÷ 4 = 6638) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (26552 ÷ 8 = 3319) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | 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 26552 a prime number?
No. 26552 = × 3319, so it is divisible by 2.
What are the factors of 26552?
1, 2, 4, 8, 3319, 6638, 13276, 26552.
What is 26552 in binary?
110011110111000 (hexadecimal 67B8, octal 63670).
What is the square root of 26552?
About 162.9478, exactly 2√6638.
Is 26552 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26552?
26552 is a happy number: repeatedly adding the squares of its digits reaches 1.