λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,093,688
8,093,688
23 × 3 × 563 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 563 × 599
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,304,000
Proper Divisor Sum 12,210,312
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8093671 ← → #8093689

Radix Representation

Decimal 8093688
Binary 11110110111111111111000 (23 bits)
Octal 0o36677770
Hexadecimal 0x7B7FF8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 563 599 1,126 1,198 1,689 1,797 2,252 2,396 3,378 3,594 4,504 4,792 6,756 7,188 13,512 14,376 337,237 674,474 1,011,711 1,348,948 2,023,422 2,697,896 4,046,844 8,093,688

Collatz Trajectory (230 steps to reach 1)

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

8,093,688 4,046,844 2,023,422 1,011,711 3,035,134 1,517,567 4,552,702 2,276,351 6,829,054 3,414,527 10,243,582 5,121,791 15,365,374 7,682,687 23,048,062 11,524,031 34,572,094 17,286,047 51,858,142 25,929,071 77,787,214 38,893,607 116,680,822 58,340,411 175,021,234 87,510,617 262,531,852 131,265,926 65,632,963 196,898,890 98,449,445 295,348,336 147,674,168 73,837,084 36,918,542 18,459,271 55,377,814 27,688,907 83,066,722 41,533,361 124,600,084 62,300,042 31,150,021 93,450,064 46,725,032 23,362,516 11,681,258 5,840,629 17,521,888 8,760,944 4,380,472 2,190,236 1,095,118 547,559 1,642,678 821,339 2,464,018 1,232,009 3,696,028 1,848,014

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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