The number 26355
26355 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 251. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 105, 251, 753, 1255, 1757, 3765, 5271, 8785, 26355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26355: a Harshad number: divisible by its digit sum 21.
- 2
26355 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 26355 itself that is 22029, so 26355 is deficient (22029 is less than 26355). Euler's totient φ(26355) = 12000 numbers up to 26355 share no factor with it.
- 4
The digits of 26355 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26355 = 3 \times 5 \times 7 \times 251 \]
26355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 12000 |
| Square | 694586025 |
| Cube | 18305814688875 |
| Square root | 162.342231 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.6355 × |
26355 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand three hundred and fifty-five |
| Binary (base 2) | 110011011110011 |
| Octal (base 8) | 63363 |
| Hexadecimal (base 16) | 66F3 |
| Base 3 | 1100011010 |
| As time | 26355 seconds = 7 h 19 min 15 s |
Is 26355 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 (26355 ÷ 3 = 8785) | 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 | Yes (26355 ÷ 5 = 5271) | 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 | Yes (26355 ÷ 7 = 3765) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 26355 a prime number?
No. 26355 = 3 × 5 × 7 × 251, so it is divisible by 3.
What are the factors of 26355?
1, 3, 5, 7, 15, 21, 35, 105, 251, 753, 1255, 1757, 3765, 5271, 8785, 26355.
What is 26355 in binary?
110011011110011 (hexadecimal 66F3, octal 63363).
What is the square root of 26355?
About 162.3422.
Is 26355 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26355?
26355 is a Harshad number: divisible by its digit sum 21.