λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,829,824
7,829,824
26 × 19 × 47 × 137
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 19 × 47 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 16,824,960
Proper Divisor Sum 8,995,136
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7829791 ← → #7829837

Radix Representation

Decimal 7829824
Binary 11101110111100101000000 (23 bits)
Octal 0o35674500
Hexadecimal 0x777940

Divisor Catalog (56)

1 2 4 8 16 19 32 38 47 64 76 94 137 152 188 274 304 376 548 608 752 893 1,096 1,216 1,504 1,786 2,192 2,603 3,008 3,572 4,384 5,206 6,439 7,144 8,768 10,412 12,878 14,288 20,824 25,756 28,576 41,648 51,512 57,152 83,296 103,024 122,341 166,592 206,048 244,682 412,096 489,364 978,728 1,957,456 3,914,912 7,829,824

Collatz Trajectory (142 steps to reach 1)

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

7,829,824 3,914,912 1,957,456 978,728 489,364 244,682 122,341 367,024 183,512 91,756 45,878 22,939 68,818 34,409 103,228 51,614 25,807 77,422 38,711 116,134 58,067 174,202 87,101 261,304 130,652 65,326 32,663 97,990 48,995 146,986 73,493 220,480 110,240 55,120 27,560 13,780 6,890 3,445 10,336 5,168 2,584 1,292 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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