The number 33726
33726 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 73. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 73, 77, 146, 154 … 33726.
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How to work it out
- 1
What is special about 33726: a Harshad number: divisible by its digit sum 21.
- 2
33726 is composite. Its prime factorisation is
- 3
The divisors add up to 85248; without 33726 itself that is 51522, so 33726 is abundant (51522 is more than 33726). Euler's totient φ(33726) = 8640 numbers up to 33726 share no factor with it.
- 4
The digits of 33726 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33726 = 2 \times 3 \times 7 \times 11 \times 73 \]
33726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 85248 |
| Euler totient φ(n) | 8640 |
| Square | 1137443076 |
| Cube | 38361405181176 |
| Square root | 183.646399 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3726 × |
33726 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and twenty-six |
| Binary (base 2) | 1000001110111110 |
| Octal (base 8) | 101676 |
| Hexadecimal (base 16) | 83BE |
| Base 3 | 1201021010 |
| As time | 33726 seconds = 9 h 22 min 6 s |
Is 33726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33726 ÷ 2 = 16863) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33726 ÷ 3 = 11242) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33726 ÷ 6 = 5621) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33726 ÷ 7 = 4818) | 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (33726 ÷ 11 = 3066) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33726 a prime number?
No. 33726 = 2 × 3 × 7 × 11 × 73, so it is divisible by 2.
What are the factors of 33726?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 73, 77, 146, 154, 219, 231, 438, 462, 511, 803, 1022, 1533, 1606, 2409, 3066, 4818, 5621, 11242, 16863, 33726.
What is 33726 in binary?
1000001110111110 (hexadecimal 83BE, octal 101676).
What is the square root of 33726?
About 183.6464.
Is 33726 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33726?
33726 is a Harshad number: divisible by its digit sum 21.