The number 3553
3553 is a palindrome: it reads 3553 backwards too. Its prime factorisation is 11 × 17 × 19. Divisors (8): 1, 11, 17, 19, 187, 209, 323, 3553.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3553: a palindrome: it reads 3553 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3553 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 3553 itself that is 767, so 3553 is deficient (767 is less than 3553). Euler's totient φ(3553) = 2880 numbers up to 3553 share no factor with it.
- 4
The digits of 3553 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3553 = 11 \times 17 \times 19 \]
3553 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 2880 |
| Square | 12623809 |
| Cube | 44852393377 |
| Square root | 59.607047 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 56 |
| Scientific notation | 3.553 × |
3553 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and fifty-three |
| Roman numerals | MMMDLIII |
| Binary (base 2) | 110111100001 |
| Octal (base 8) | 6741 |
| Hexadecimal (base 16) | DE1 |
| Base 3 | 11212121 |
| As time | 3553 seconds = 59 min 13 s |
Is 3553 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 4) | 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 | Yes (3553 ÷ 11 = 323) | 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 3553 a prime number?
No. 3553 = 11 × 17 × 19, so it is divisible by 11.
What are the factors of 3553?
1, 11, 17, 19, 187, 209, 323, 3553.
What is 3553 in binary?
110111100001 (hexadecimal DE1, octal 6741).
What is the square root of 3553?
About 59.6070.
What is 3553 in Roman numerals?
MMMDLIII.
Is 3553 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3553?
3553 is a palindrome: it reads 3553 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.