λ
Ratio Atlas
Atlas › Integer Profiles › Node 77,611,649
77,611,649
89 × 872041
Deficient Odd Composite

Prime Factor Structure

Factorization String 89 × 872041
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 78,483,780
Proper Divisor Sum 872,131
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #77611643 ← → #77611657

Radix Representation

Decimal 77611649
Binary 100101000000100001010000001 (27 bits)
Octal 0o450041201
Hexadecimal 0x4A04281

Divisor Catalog (4)

1 89 872,041 77,611,649

Collatz Trajectory (241 steps to reach 1)

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

77,611,649 232,834,948 116,417,474 58,208,737 174,626,212 87,313,106 43,656,553 130,969,660 65,484,830 32,742,415 98,227,246 49,113,623 147,340,870 73,670,435 221,011,306 110,505,653 331,516,960 165,758,480 82,879,240 41,439,620 20,719,810 10,359,905 31,079,716 15,539,858 7,769,929 23,309,788 11,654,894 5,827,447 17,482,342 8,741,171 26,223,514 13,111,757 39,335,272 19,667,636 9,833,818 4,916,909 14,750,728 7,375,364 3,687,682 1,843,841 5,531,524 2,765,762 1,382,881 4,148,644 2,074,322 1,037,161 3,111,484 1,555,742 777,871 2,333,614 1,166,807 3,500,422 1,750,211 5,250,634 2,625,317 7,875,952 3,937,976 1,968,988 984,494 492,247

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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