The number 57553
57553 is a composite number with 4 divisors. Its prime factorisation is 67 × 859. Divisors (4): 1, 67, 859, 57553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57553: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 859, the product of two primes.
- 2
57553 is composite. Its prime factorisation is
- 3
The divisors add up to 58480; without 57553 itself that is 927, so 57553 is deficient (927 is less than 57553). Euler's totient φ(57553) = 56628 numbers up to 57553 share no factor with it.
- 4
The digits of 57553 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
\[ 57553 = 67 \times 859 \]
57553 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 58480 |
| Euler totient φ(n) | 56628 |
| Square | 3312347809 |
| Cube | 190635553451377 |
| Square root | 239.902063 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7553 × |
57553 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand five hundred and fifty-three |
| Binary (base 2) | 1110000011010001 |
| Octal (base 8) | 160321 |
| Hexadecimal (base 16) | E0D1 |
| Base 3 | 2220221121 |
| As time | 57553 seconds = 15 h 59 min 13 s |
Is 57553 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 1) | 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 1) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57553 a prime number?
No. 57553 = 67 × 859, so it is divisible by 67.
What are the factors of 57553?
1, 67, 859, 57553.
What is 57553 in binary?
1110000011010001 (hexadecimal E0D1, octal 160321).
What is the square root of 57553?
About 239.9021.
Is 57553 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 57553?
57553 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 67 × 859, the product of two primes.