λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,992,984
8,992,984
23 × 7 × 11 × 13 × 1123
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 13 × 1123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 22,659,840
Proper Divisor Sum 13,666,856
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #8992979 ← → #8992993

Radix Representation

Decimal 8992984
Binary 100010010011100011011000 (24 bits)
Octal 0o42234330
Hexadecimal 0x8938D8

Divisor Catalog (60 of 64)

1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1,001 1,123 1,144 2,002 2,246 4,004 4,492 7,861 8,008 8,984 12,353 14,599 15,722 24,706 29,198 31,444 49,412 58,396 62,888 86,471 98,824 102,193 116,792 160,589 172,942 204,386 321,178 345,884 408,772 642,356 691,768 817,544 1,124,123

Collatz Trajectory (168 steps to reach 1)

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

8,992,984 4,496,492 2,248,246 1,124,123 3,372,370 1,686,185 5,058,556 2,529,278 1,264,639 3,793,918 1,896,959 5,690,878 2,845,439 8,536,318 4,268,159 12,804,478 6,402,239 19,206,718 9,603,359 28,810,078 14,405,039 43,215,118 21,607,559 64,822,678 32,411,339 97,234,018 48,617,009 145,851,028 72,925,514 36,462,757 109,388,272 54,694,136 27,347,068 13,673,534 6,836,767 20,510,302 10,255,151 30,765,454 15,382,727 46,148,182 23,074,091 69,222,274 34,611,137 103,833,412 51,916,706 25,958,353 77,875,060 38,937,530 19,468,765 58,406,296 29,203,148 14,601,574 7,300,787 21,902,362 10,951,181 32,853,544 16,426,772 8,213,386 4,106,693 12,320,080

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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