The number 55917
55917 is a composite number with 16 divisors. Its prime factorisation is × 19 × 109. Divisors (16): 1, 3, 9, 19, 27, 57, 109, 171, 327, 513, 981, 2071, 2943, 6213, 18639, 55917.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55917: a Harshad number: divisible by its digit sum 27.
- 2
55917 is composite. Its prime factorisation is
- 3
The divisors add up to 88000; without 55917 itself that is 32083, so 55917 is deficient (32083 is less than 55917). Euler's totient φ(55917) = 34992 numbers up to 55917 share no factor with it.
- 4
The digits of 55917 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55917 = 3^{3} \times 19 \times 109 \]55917 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88000 |
| Euler totient φ(n) | 34992 |
| Square | 3126710889 |
| Cube | 174836292780213 |
| Square root | 236.467757 (= 3√6213) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5917 × |
55917 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and seventeen |
| Binary (base 2) | 1101101001101101 |
| Octal (base 8) | 155155 |
| Hexadecimal (base 16) | DA6D |
| Base 3 | 2211201000 |
| As time | 55917 seconds = 15 h 31 min 57 s |
Is 55917 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 (55917 ÷ 3 = 18639) | 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 2) | 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 | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55917 ÷ 9 = 6213) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 55917 a prime number?
No. 55917 = × 19 × 109, so it is divisible by 3.
What are the factors of 55917?
1, 3, 9, 19, 27, 57, 109, 171, 327, 513, 981, 2071, 2943, 6213, 18639, 55917.
What is 55917 in binary?
1101101001101101 (hexadecimal DA6D, octal 155155).
What is the square root of 55917?
About 236.4678, exactly 3√6213.
Is 55917 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55917?
55917 is a Harshad number: divisible by its digit sum 27.