The number 3473
3473 is a composite number with 4 divisors. Its prime factorisation is 23 × 151. Divisors (4): 1, 23, 151, 3473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3473: a semiprime: 23 × 151, the product of two primes.
- 2
3473 is composite. Its prime factorisation is
- 3
The divisors add up to 3648; without 3473 itself that is 175, so 3473 is deficient (175 is less than 3473). Euler's totient φ(3473) = 3300 numbers up to 3473 share no factor with it.
- 4
The digits of 3473 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 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3473 = 23 \times 151 \]
3473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3648 |
| Euler totient φ(n) | 3300 |
| Square | 12061729 |
| Cube | 41890384817 |
| Square root | 58.932164 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 105 |
| Scientific notation | 3.473 × |
3473 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and seventy-three |
| Roman numerals | MMMCDLXXIII |
| Binary (base 2) | 110110010001 |
| Octal (base 8) | 6621 |
| Hexadecimal (base 16) | D91 |
| Base 3 | 11202122 |
| As time | 3473 seconds = 57 min 53 s |
Is 3473 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 8) | 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 8) | 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 3473 a prime number?
No. 3473 = 23 × 151, so it is divisible by 23.
What are the factors of 3473?
1, 23, 151, 3473.
What is 3473 in binary?
110110010001 (hexadecimal D91, octal 6621).
What is the square root of 3473?
About 58.9322.
What is 3473 in Roman numerals?
MMMCDLXXIII.
Is 3473 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3473?
3473 is a semiprime: 23 × 151, the product of two primes.