λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,536,740
8,536,740
22 × 3 × 5 × 79 × 1801
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 79 × 1801
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,218,880
Proper Divisor Sum 15,682,140
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8536739 ← → #8536753

Radix Representation

Decimal 8536740
Binary 100000100100001010100100 (24 bits)
Octal 0o40441244
Hexadecimal 0x8242A4

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1,185 1,580 1,801 2,370 3,602 4,740 5,403 7,204 9,005 10,806 18,010 21,612 27,015 36,020 54,030 108,060 142,279 284,558 426,837 569,116 711,395 853,674 1,422,790 1,707,348 2,134,185 2,845,580 4,268,370 8,536,740

Collatz Trajectory (212 steps to reach 1)

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

8,536,740 4,268,370 2,134,185 6,402,556 3,201,278 1,600,639 4,801,918 2,400,959 7,202,878 3,601,439 10,804,318 5,402,159 16,206,478 8,103,239 24,309,718 12,154,859 36,464,578 18,232,289 54,696,868 27,348,434 13,674,217 41,022,652 20,511,326 10,255,663 30,766,990 15,383,495 46,150,486 23,075,243 69,225,730 34,612,865 103,838,596 51,919,298 25,959,649 77,878,948 38,939,474 19,469,737 58,409,212 29,204,606 14,602,303 43,806,910 21,903,455 65,710,366 32,855,183 98,565,550 49,282,775 147,848,326 73,924,163 221,772,490 110,886,245 332,658,736 166,329,368 83,164,684 41,582,342 20,791,171 62,373,514 31,186,757 93,560,272 46,780,136 23,390,068 11,695,034

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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