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Ratio Atlas
Atlas › Integer Profiles › Node 75,677,751
75,677,751
32 × 23 × 97 × 3769
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 23 × 97 × 3769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 115,271,520
Proper Divisor Sum 39,593,769
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #75677743 ← → #75677753

Radix Representation

Decimal 75677751
Binary 100100000101100000000110111 (27 bits)
Octal 0o440540067
Hexadecimal 0x482C037

Divisor Catalog (24)

1 3 9 23 69 97 207 291 873 2,231 3,769 6,693 11,307 20,079 33,921 86,687 260,061 365,593 780,183 1,096,779 3,290,337 8,408,639 25,225,917 75,677,751

Collatz Trajectory (179 steps to reach 1)

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

75,677,751 227,033,254 113,516,627 340,549,882 170,274,941 510,824,824 255,412,412 127,706,206 63,853,103 191,559,310 95,779,655 287,338,966 143,669,483 431,008,450 215,504,225 646,512,676 323,256,338 161,628,169 484,884,508 242,442,254 121,221,127 363,663,382 181,831,691 545,495,074 272,747,537 818,242,612 409,121,306 204,560,653 613,681,960 306,840,980 153,420,490 76,710,245 230,130,736 115,065,368 57,532,684 28,766,342 14,383,171 43,149,514 21,574,757 64,724,272 32,362,136 16,181,068 8,090,534 4,045,267 12,135,802 6,067,901 18,203,704 9,101,852 4,550,926 2,275,463 6,826,390 3,413,195 10,239,586 5,119,793 15,359,380 7,679,690 3,839,845 11,519,536 5,759,768 2,879,884

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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