λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,257,550
29,257,550
2 × 52 × 7 × 179 × 467
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 179 × 467
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 62,674,560
Proper Divisor Sum 33,417,010
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #29257531 ← → #29257589

Radix Representation

Decimal 29257550
Binary 1101111100110111101001110 (25 bits)
Octal 0o157467516
Hexadecimal 0x1BE6F4E

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 175 179 350 358 467 895 934 1,253 1,790 2,335 2,506 3,269 4,475 4,670 6,265 6,538 8,950 11,675 12,530 16,345 23,350 31,325 32,690 62,650 81,725 83,593 163,450 167,186 417,965 585,151 835,930 1,170,302 2,089,825 2,925,755 4,179,650 5,851,510 14,628,775 29,257,550

Collatz Trajectory (374 steps to reach 1)

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

29,257,550 14,628,775 43,886,326 21,943,163 65,829,490 32,914,745 98,744,236 49,372,118 24,686,059 74,058,178 37,029,089 111,087,268 55,543,634 27,771,817 83,315,452 41,657,726 20,828,863 62,486,590 31,243,295 93,729,886 46,864,943 140,594,830 70,297,415 210,892,246 105,446,123 316,338,370 158,169,185 474,507,556 237,253,778 118,626,889 355,880,668 177,940,334 88,970,167 266,910,502 133,455,251 400,365,754 200,182,877 600,548,632 300,274,316 150,137,158 75,068,579 225,205,738 112,602,869 337,808,608 168,904,304 84,452,152 42,226,076 21,113,038 10,556,519 31,669,558 15,834,779 47,504,338 23,752,169 71,256,508 35,628,254 17,814,127 53,442,382 26,721,191 80,163,574 40,081,787

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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