The number 55726
55726 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 149. Divisors (16): 1, 2, 11, 17, 22, 34, 149, 187, 298, 374, 1639, 2533, 3278, 5066, 27863, 55726.
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How to work it out
- 1
What is special about 55726: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55726 is composite. Its prime factorisation is
- 3
The divisors add up to 97200; without 55726 itself that is 41474, so 55726 is deficient (41474 is less than 55726). Euler's totient φ(55726) = 23680 numbers up to 55726 share no factor with it.
- 4
The digits of 55726 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55726 = 2 \times 11 \times 17 \times 149 \]
55726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97200 |
| Euler totient φ(n) | 23680 |
| Square | 3105387076 |
| Cube | 173050800197176 |
| Square root | 236.063551 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5726 × |
55726 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and twenty-six |
| Binary (base 2) | 1101100110101110 |
| Octal (base 8) | 154656 |
| Hexadecimal (base 16) | D9AE |
| Base 3 | 2211102221 |
| As time | 55726 seconds = 15 h 28 min 46 s |
Is 55726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55726 ÷ 2 = 27863) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | 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 (55726 ÷ 11 = 5066) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55726 a prime number?
No. 55726 = 2 × 11 × 17 × 149, so it is divisible by 2.
What are the factors of 55726?
1, 2, 11, 17, 22, 34, 149, 187, 298, 374, 1639, 2533, 3278, 5066, 27863, 55726.
What is 55726 in binary?
1101100110101110 (hexadecimal D9AE, octal 154656).
What is the square root of 55726?
About 236.0636.
Is 55726 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55726?
55726 is a happy number: repeatedly adding the squares of its digits reaches 1.