The number 47473
47473 is a composite number with 4 divisors. Its prime factorisation is 29 × 1637. Divisors (4): 1, 29, 1637, 47473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47473: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1637, the product of two primes.
- 2
47473 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 47473 itself that is 1667, so 47473 is deficient (1667 is less than 47473). Euler's totient φ(47473) = 45808 numbers up to 47473 share no factor with it.
- 4
The digits of 47473 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47473 = 29 \times 1637 \]
47473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 45808 |
| Square | 2253685729 |
| Cube | 106989222612817 |
| Square root | 217.882996 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7473 × |
47473 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and seventy-three |
| Binary (base 2) | 1011100101110001 |
| Octal (base 8) | 134561 |
| Hexadecimal (base 16) | B971 |
| Base 3 | 2102010021 |
| As time | 47473 seconds = 13 h 11 min 13 s |
Is 47473 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 8) | 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 47473 a prime number?
No. 47473 = 29 × 1637, so it is divisible by 29.
What are the factors of 47473?
1, 29, 1637, 47473.
What is 47473 in binary?
1011100101110001 (hexadecimal B971, octal 134561).
What is the square root of 47473?
About 217.8830.
Is 47473 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47473?
47473 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 29 × 1637, the product of two primes.