764,005

5 × 11 × 29 × 479

764,005 has the prime decomposition 5 × 11 × 29 × 479. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 29 × 479

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,036,800

Proper Divisor Sum 272,795

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #764003 ← → #764011

Radix Representation

Decimal	764005
Binary	10111010100001100101 (20 bits)
Octal	0o2724145
Hexadecimal	0xBA865

Divisor Catalog (16)

1 5 11 29 55 145 319 479 1,595 2,395 5,269 13,891 26,345 69,455 152,801 764,005

Collatz Trajectory (105 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

764,005 2,292,016 1,146,008 573,004 286,502 143,251 429,754 214,877 644,632 322,316 161,158 80,579 241,738 120,869 362,608 181,304 90,652 45,326 22,663 67,990 33,995 101,986 50,993 152,980 76,490 38,245 114,736 57,368 28,684 14,342 7,171 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540 2,270 1,135 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853

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