λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,844,506
52,844,506
2 × 11 × 13 × 43 × 4297
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 13 × 43 × 4297
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,312,448
Proper Divisor Sum 42,467,942
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #52844461 ← → #52844507

Radix Representation

Decimal 52844506
Binary 11001001100101011111011010 (26 bits)
Octal 0o311453732
Hexadecimal 0x32657DA

Divisor Catalog (32)

1 2 11 13 22 26 43 86 143 286 473 559 946 1,118 4,297 6,149 8,594 12,298 47,267 55,861 94,534 111,722 184,771 369,542 614,471 1,228,942 2,032,481 2,402,023 4,064,962 4,804,046 26,422,253 52,844,506

Collatz Trajectory (150 steps to reach 1)

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

52,844,506 26,422,253 79,266,760 39,633,380 19,816,690 9,908,345 29,725,036 14,862,518 7,431,259 22,293,778 11,146,889 33,440,668 16,720,334 8,360,167 25,080,502 12,540,251 37,620,754 18,810,377 56,431,132 28,215,566 14,107,783 42,323,350 21,161,675 63,485,026 31,742,513 95,227,540 47,613,770 23,806,885 71,420,656 35,710,328 17,855,164 8,927,582 4,463,791 13,391,374 6,695,687 20,087,062 10,043,531 30,130,594 15,065,297 45,195,892 22,597,946 11,298,973 33,896,920 16,948,460 8,474,230 4,237,115 12,711,346 6,355,673 19,067,020 9,533,510 4,766,755 14,300,266 7,150,133 21,450,400 10,725,200 5,362,600 2,681,300 1,340,650 670,325 2,010,976

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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