λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,094,814
8,094,814
2 × 7 × 13 × 79 × 563
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 79 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,160,320
Proper Divisor Sum 7,065,506
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #8094811 ← → #8094829

Radix Representation

Decimal 8094814
Binary 11110111000010001011110 (23 bits)
Octal 0o36702136
Hexadecimal 0x7B845E

Divisor Catalog (32)

1 2 7 13 14 26 79 91 158 182 553 563 1,027 1,106 1,126 2,054 3,941 7,189 7,319 7,882 14,378 14,638 44,477 51,233 88,954 102,466 311,339 578,201 622,678 1,156,402 4,047,407 8,094,814

Collatz Trajectory (124 steps to reach 1)

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

8,094,814 4,047,407 12,142,222 6,071,111 18,213,334 9,106,667 27,320,002 13,660,001 40,980,004 20,490,002 10,245,001 30,735,004 15,367,502 7,683,751 23,051,254 11,525,627 34,576,882 17,288,441 51,865,324 25,932,662 12,966,331 38,898,994 19,449,497 58,348,492 29,174,246 14,587,123 43,761,370 21,880,685 65,642,056 32,821,028 16,410,514 8,205,257 24,615,772 12,307,886 6,153,943 18,461,830 9,230,915 27,692,746 13,846,373 41,539,120 20,769,560 10,384,780 5,192,390 2,596,195 7,788,586 3,894,293 11,682,880 5,841,440 2,920,720 1,460,360 730,180 365,090 182,545 547,636 273,818 136,909 410,728 205,364 102,682 51,341

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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