The number 5553
5553 is a composite number with 6 divisors. Its prime factorisation is × 617. Divisors (6): 1, 3, 9, 617, 1851, 5553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5553 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5553 is composite. Its prime factorisation is
- 3
The divisors add up to 8034; without 5553 itself that is 2481, so 5553 is deficient (2481 is less than 5553). Euler's totient φ(5553) = 3696 numbers up to 5553 share no factor with it.
- 4
The digits of 5553 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5553 = 3^{2} \times 617 \]5553 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 8034 |
| Euler totient φ(n) | 3696 |
| Square | 30835809 |
| Cube | 171231247377 |
| Square root | 74.518454 (= 3√617) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.553 × |
5553 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and fifty-three |
| Binary (base 2) | 1010110110001 |
| Octal (base 8) | 12661 |
| Hexadecimal (base 16) | 15B1 |
| Base 3 | 21121200 |
| As time | 5553 seconds = 1 h 32 min 33 s |
Is 5553 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 (5553 ÷ 3 = 1851) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (5553 ÷ 9 = 617) | 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 9) | 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 5553 a prime number?
No. 5553 = × 617, so it is divisible by 3.
What are the factors of 5553?
1, 3, 9, 617, 1851, 5553.
What is 5553 in binary?
1010110110001 (hexadecimal 15B1, octal 12661).
What is the square root of 5553?
About 74.5185, exactly 3√617.
Is 5553 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5553?
It is a composite number with 6 divisors.