The number 55553
55553 is a composite number with 4 divisors. Its prime factorisation is 73 × 761. Divisors (4): 1, 73, 761, 55553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55553: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 761, the product of two primes.
- 2
55553 is composite. Its prime factorisation is
- 3
The divisors add up to 56388; without 55553 itself that is 835, so 55553 is deficient (835 is less than 55553). Euler's totient φ(55553) = 54720 numbers up to 55553 share no factor with it.
- 4
The digits of 55553 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55553 = 73 \times 761 \]
55553 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 56388 |
| Euler totient φ(n) | 54720 |
| Square | 3086135809 |
| Cube | 171444102597377 |
| Square root | 235.696839 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5553 × |
55553 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and fifty-three |
| Binary (base 2) | 1101100100000001 |
| Octal (base 8) | 154401 |
| Hexadecimal (base 16) | D901 |
| Base 3 | 2211012112 |
| As time | 55553 seconds = 15 h 25 min 53 s |
Is 55553 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 3) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55553 a prime number?
No. 55553 = 73 × 761, so it is divisible by 73.
What are the factors of 55553?
1, 73, 761, 55553.
What is 55553 in binary?
1101100100000001 (hexadecimal D901, octal 154401).
What is the square root of 55553?
About 235.6968.
Is 55553 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55553?
55553 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 73 × 761, the product of two primes.