λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,844,732
17,844,732
22 × 33 × 165229
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 165229
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 46,264,400
Proper Divisor Sum 28,419,668
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17844721 ← → #17844733

Radix Representation

Decimal 17844732
Binary 1000100000100100111111100 (25 bits)
Octal 0o104044774
Hexadecimal 0x11049FC

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 165,229 330,458 495,687 660,916 991,374 1,487,061 1,982,748 2,974,122 4,461,183 5,948,244 8,922,366 17,844,732

Collatz Trajectory (169 steps to reach 1)

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

17,844,732 8,922,366 4,461,183 13,383,550 6,691,775 20,075,326 10,037,663 30,112,990 15,056,495 45,169,486 22,584,743 67,754,230 33,877,115 101,631,346 50,815,673 152,447,020 76,223,510 38,111,755 114,335,266 57,167,633 171,502,900 85,751,450 42,875,725 128,627,176 64,313,588 32,156,794 16,078,397 48,235,192 24,117,596 12,058,798 6,029,399 18,088,198 9,044,099 27,132,298 13,566,149 40,698,448 20,349,224 10,174,612 5,087,306 2,543,653 7,630,960 3,815,480 1,907,740 953,870 476,935 1,430,806 715,403 2,146,210 1,073,105 3,219,316 1,609,658 804,829 2,414,488 1,207,244 603,622 301,811 905,434 452,717 1,358,152 679,076

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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