The number 47464
47464 is a composite number with 16 divisors. Its prime factorisation is × 17 × 349. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 349, 698, 1396, 2792, 5933, 11866, 23732, 47464.
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How to work it out
- 1
What is special about 47464: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47464 is composite. Its prime factorisation is
- 3
The divisors add up to 94500; without 47464 itself that is 47036, so 47464 is deficient (47036 is less than 47464). Euler's totient φ(47464) = 22272 numbers up to 47464 share no factor with it.
- 4
The digits of 47464 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
\[ 47464 = 2^{3} \times 17 \times 349 \]47464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94500 |
| Euler totient φ(n) | 22272 |
| Square | 2252831296 |
| Cube | 106928384633344 |
| Square root | 217.862342 (= 2√11866) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7464 × |
47464 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and sixty-four |
| Binary (base 2) | 1011100101101000 |
| Octal (base 8) | 134550 |
| Hexadecimal (base 16) | B968 |
| Base 3 | 2102002221 |
| As time | 47464 seconds = 13 h 11 min 4 s |
Is 47464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47464 ÷ 2 = 23732) | 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 | Yes (47464 ÷ 4 = 11866) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (47464 ÷ 8 = 5933) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47464 a prime number?
No. 47464 = × 17 × 349, so it is divisible by 2.
What are the factors of 47464?
1, 2, 4, 8, 17, 34, 68, 136, 349, 698, 1396, 2792, 5933, 11866, 23732, 47464.
What is 47464 in binary?
1011100101101000 (hexadecimal B968, octal 134550).
What is the square root of 47464?
About 217.8623, exactly 2√11866.
Is 47464 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47464?
47464 is a happy number: repeatedly adding the squares of its digits reaches 1.