λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,598,372
44,598,372
22 × 3 × 7 × 13 × 40841
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 40841
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 128,080,512
Proper Divisor Sum 83,482,140
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #44598343 ← → #44598383

Radix Representation

Decimal 44598372
Binary 10101010001000010001100100 (26 bits)
Octal 0o252102144
Hexadecimal 0x2A88464

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 40,841 81,682 122,523 163,364 245,046 285,887 490,092 530,933 571,774 857,661 1,061,866 1,143,548 1,592,799 1,715,322 2,123,732 3,185,598 3,430,644 3,716,531 6,371,196 7,433,062 11,149,593 14,866,124 22,299,186 44,598,372

Collatz Trajectory (186 steps to reach 1)

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

44,598,372 22,299,186 11,149,593 33,448,780 16,724,390 8,362,195 25,086,586 12,543,293 37,629,880 18,814,940 9,407,470 4,703,735 14,111,206 7,055,603 21,166,810 10,583,405 31,750,216 15,875,108 7,937,554 3,968,777 11,906,332 5,953,166 2,976,583 8,929,750 4,464,875 13,394,626 6,697,313 20,091,940 10,045,970 5,022,985 15,068,956 7,534,478 3,767,239 11,301,718 5,650,859 16,952,578 8,476,289 25,428,868 12,714,434 6,357,217 19,071,652 9,535,826 4,767,913 14,303,740 7,151,870 3,575,935 10,727,806 5,363,903 16,091,710 8,045,855 24,137,566 12,068,783 36,206,350 18,103,175 54,309,526 27,154,763 81,464,290 40,732,145 122,196,436 61,098,218

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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