The number 26733
26733 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 67. Divisors (16): 1, 3, 7, 19, 21, 57, 67, 133, 201, 399, 469, 1273, 1407, 3819, 8911, 26733.
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How to work it out
- 1
What is special about 26733: a Harshad number: divisible by its digit sum 21.
- 2
26733 is composite. Its prime factorisation is
- 3
The divisors add up to 43520; without 26733 itself that is 16787, so 26733 is deficient (16787 is less than 26733). Euler's totient φ(26733) = 14256 numbers up to 26733 share no factor with it.
- 4
The digits of 26733 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26733 = 3 \times 7 \times 19 \times 67 \]
26733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 43520 |
| Euler totient φ(n) | 14256 |
| Square | 714653289 |
| Cube | 19104826374837 |
| Square root | 163.502294 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6733 × |
26733 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand seven hundred and thirty-three |
| Binary (base 2) | 110100001101101 |
| Octal (base 8) | 64155 |
| Hexadecimal (base 16) | 686D |
| Base 3 | 1100200010 |
| As time | 26733 seconds = 7 h 25 min 33 s |
Is 26733 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 (26733 ÷ 3 = 8911) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (26733 ÷ 7 = 3819) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26733 a prime number?
No. 26733 = 3 × 7 × 19 × 67, so it is divisible by 3.
What are the factors of 26733?
1, 3, 7, 19, 21, 57, 67, 133, 201, 399, 469, 1273, 1407, 3819, 8911, 26733.
What is 26733 in binary?
110100001101101 (hexadecimal 686D, octal 64155).
What is the square root of 26733?
About 163.5023.
Is 26733 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 26733?
26733 is a Harshad number: divisible by its digit sum 21.