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Ratio Atlas
Atlas › Integer Profiles › Node 8,023,972
8,023,972
22 × 11 × 43 × 4241
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 43 × 4241
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,678,432
Proper Divisor Sum 7,654,460
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8023969 ← → #8023979

Radix Representation

Decimal 8023972
Binary 11110100110111110100100 (23 bits)
Octal 0o36467644
Hexadecimal 0x7A6FA4

Divisor Catalog (24)

1 2 4 11 22 43 44 86 172 473 946 1,892 4,241 8,482 16,964 46,651 93,302 182,363 186,604 364,726 729,452 2,005,993 4,011,986 8,023,972

Collatz Trajectory (155 steps to reach 1)

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

8,023,972 4,011,986 2,005,993 6,017,980 3,008,990 1,504,495 4,513,486 2,256,743 6,770,230 3,385,115 10,155,346 5,077,673 15,233,020 7,616,510 3,808,255 11,424,766 5,712,383 17,137,150 8,568,575 25,705,726 12,852,863 38,558,590 19,279,295 57,837,886 28,918,943 86,756,830 43,378,415 130,135,246 65,067,623 195,202,870 97,601,435 292,804,306 146,402,153 439,206,460 219,603,230 109,801,615 329,404,846 164,702,423 494,107,270 247,053,635 741,160,906 370,580,453 1,111,741,360 555,870,680 277,935,340 138,967,670 69,483,835 208,451,506 104,225,753 312,677,260 156,338,630 78,169,315 234,507,946 117,253,973 351,761,920 175,880,960 87,940,480 43,970,240 21,985,120 10,992,560

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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