804,672

2⁶ × 3² × 11 × 127

804,672 has the prime decomposition 2^6 × 3^2 × 11 × 127. Its 4 distinct prime factors produce 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 11 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 2,535,936

Proper Divisor Sum 1,731,264

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #804653 ← → #804689

Radix Representation

Decimal	804672
Binary	11000100011101000000 (20 bits)
Octal	0o3043500
Hexadecimal	0xC4740

Divisor Catalog (60 of 84)

1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 127 132 144 176 192 198 254 264 288 352 381 396 508 528 576 704 762 792 1,016 1,056 1,143 1,397 1,524 1,584 2,032 2,112 2,286 2,794 3,048 3,168 4,064 4,191 4,572 5,588 6,096 6,336

Collatz Trajectory (113 steps to reach 1)

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

804,672 402,336 201,168 100,584 50,292 25,146 12,573 37,720 18,860 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854

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