The number 55601
55601 is a composite number with 12 divisors. Its prime factorisation is 7 × × 47. Divisors (12): 1, 7, 13, 47, 91, 169, 329, 611, 1183, 4277, 7943, 55601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55601 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 55601 itself that is 14671, so 55601 is deficient (14671 is less than 55601). Euler's totient φ(55601) = 43056 numbers up to 55601 share no factor with it.
- 4
The digits of 55601 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55601 = 7 \times 13^{2} \times 47 \]55601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 43056 |
| Square | 3091471201 |
| Cube | 171888890246801 |
| Square root | 235.798643 (= 13√329) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.5601 × |
55601 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and one |
| Binary (base 2) | 1101100100110001 |
| Octal (base 8) | 154461 |
| Hexadecimal (base 16) | D931 |
| Base 3 | 2211021022 |
| As time | 55601 seconds = 15 h 26 min 41 s |
Is 55601 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55601 ÷ 7 = 7943) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55601 a prime number?
No. 55601 = 7 × × 47, so it is divisible by 7.
What are the factors of 55601?
1, 7, 13, 47, 91, 169, 329, 611, 1183, 4277, 7943, 55601.
What is 55601 in binary?
1101100100110001 (hexadecimal D931, octal 154461).
What is the square root of 55601?
About 235.7986, exactly 13√329.
Is 55601 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55601?
It is a composite number with 12 divisors.