The number 80464
80464 is a composite number with 20 divisors. Its prime factorisation is × 47 × 107. Divisors (20): 1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029 … 80464.
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How to work it out
- 1
80464 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80464 is composite. Its prime factorisation is
- 3
The divisors add up to 160704; without 80464 itself that is 80240, so 80464 is deficient (80240 is less than 80464). Euler's totient φ(80464) = 39008 numbers up to 80464 share no factor with it.
- 4
The digits of 80464 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80464 = 2^{4} \times 47 \times 107 \]80464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 160704 |
| Euler totient φ(n) | 39008 |
| Square | 6474455296 |
| Cube | 520960570937344 |
| Square root | 283.661770 (= 4√5029) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0464 × |
80464 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and sixty-four |
| Binary (base 2) | 10011101001010000 |
| Octal (base 8) | 235120 |
| Hexadecimal (base 16) | 13A50 |
| Base 3 | 11002101011 |
| As time | 80464 seconds = 22 h 21 min 4 s |
Is 80464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80464 ÷ 2 = 40232) | 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 (80464 ÷ 4 = 20116) | 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 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 | Yes (80464 ÷ 8 = 10058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 80464 a prime number?
No. 80464 = × 47 × 107, so it is divisible by 2.
What are the factors of 80464?
1, 2, 4, 8, 16, 47, 94, 107, 188, 214, 376, 428, 752, 856, 1712, 5029, 10058, 20116, 40232, 80464.
What is 80464 in binary?
10011101001010000 (hexadecimal 13A50, octal 235120).
What is the square root of 80464?
About 283.6618, exactly 4√5029.
Is 80464 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 80464?
It is a composite number with 20 divisors.