λ
Ratio Atlas
Atlas › Integer Profiles › Node 51,179,172
51,179,172
22 × 3 × 11 × 387721
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 387721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 130,274,592
Proper Divisor Sum 79,095,420
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #51179153 ← → #51179173

Radix Representation

Decimal 51179172
Binary 11000011001110111010100100 (26 bits)
Octal 0o303167244
Hexadecimal 0x30CEEA4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 387,721 775,442 1,163,163 1,550,884 2,326,326 4,264,931 4,652,652 8,529,862 12,794,793 17,059,724 25,589,586 51,179,172

Collatz Trajectory (181 steps to reach 1)

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

51,179,172 25,589,586 12,794,793 38,384,380 19,192,190 9,596,095 28,788,286 14,394,143 43,182,430 21,591,215 64,773,646 32,386,823 97,160,470 48,580,235 145,740,706 72,870,353 218,611,060 109,305,530 54,652,765 163,958,296 81,979,148 40,989,574 20,494,787 61,484,362 30,742,181 92,226,544 46,113,272 23,056,636 11,528,318 5,764,159 17,292,478 8,646,239 25,938,718 12,969,359 38,908,078 19,454,039 58,362,118 29,181,059 87,543,178 43,771,589 131,314,768 65,657,384 32,828,692 16,414,346 8,207,173 24,621,520 12,310,760 6,155,380 3,077,690 1,538,845 4,616,536 2,308,268 1,154,134 577,067 1,731,202 865,601 2,596,804 1,298,402 649,201 1,947,604

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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