λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,978,048
6,978,048
29 × 3 × 7 × 11 × 59
Abundant Even Composite

Prime Factor Structure

Factorization String 2^9 × 3 × 7 × 11 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 160
Divisor Sum (σ) 23,569,920
Proper Divisor Sum 16,591,872
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6978047 ← → #6978061

Radix Representation

Decimal 6978048
Binary 11010100111101000000000 (23 bits)
Octal 0o32475000
Hexadecimal 0x6A7A00

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 59 64 66 77 84 88 96 112 118 128 132 154 168 176 177 192 224 231 236 256 264 308 336 352 354 384 413 448 462 472 512 528 616 649 672 704 708 768 826

Collatz Trajectory (72 steps to reach 1)

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

6,978,048 3,489,024 1,744,512 872,256 436,128 218,064 109,032 54,516 27,258 13,629 40,888 20,444 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

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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