λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,778,072
5,778,072
23 × 32 × 80251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 80251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,649,140
Proper Divisor Sum 9,871,068
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5778061 ← → #5778077

Radix Representation

Decimal 5778072
Binary 10110000010101010011000 (23 bits)
Octal 0o26025230
Hexadecimal 0x582A98

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 80,251 160,502 240,753 321,004 481,506 642,008 722,259 963,012 1,444,518 1,926,024 2,889,036 5,778,072

Collatz Trajectory (351 steps to reach 1)

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

5,778,072 2,889,036 1,444,518 722,259 2,166,778 1,083,389 3,250,168 1,625,084 812,542 406,271 1,218,814 609,407 1,828,222 914,111 2,742,334 1,371,167 4,113,502 2,056,751 6,170,254 3,085,127 9,255,382 4,627,691 13,883,074 6,941,537 20,824,612 10,412,306 5,206,153 15,618,460 7,809,230 3,904,615 11,713,846 5,856,923 17,570,770 8,785,385 26,356,156 13,178,078 6,589,039 19,767,118 9,883,559 29,650,678 14,825,339 44,476,018 22,238,009 66,714,028 33,357,014 16,678,507 50,035,522 25,017,761 75,053,284 37,526,642 18,763,321 56,289,964 28,144,982 14,072,491 42,217,474 21,108,737 63,326,212 31,663,106 15,831,553 47,494,660

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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