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Ratio Atlas
Atlas › Integer Profiles › Node 2,672,768
2,672,768
27 × 7 × 19 × 157
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 7 × 19 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,446,400
Proper Divisor Sum 3,773,632
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2672767 ← → #2672779

Radix Representation

Decimal 2672768
Binary 1010001100100010000000 (22 bits)
Octal 0o12144200
Hexadecimal 0x28C880

Divisor Catalog (60 of 64)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 157 224 266 304 314 448 532 608 628 896 1,064 1,099 1,216 1,256 2,128 2,198 2,432 2,512 2,983 4,256 4,396 5,024 5,966 8,512 8,792 10,048 11,932 17,024 17,584 20,096 20,881 23,864 35,168 41,762 47,728 70,336 83,524 95,456 140,672 167,048 190,912 334,096

Collatz Trajectory (112 steps to reach 1)

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

2,672,768 1,336,384 668,192 334,096 167,048 83,524 41,762 20,881 62,644 31,322 15,661 46,984 23,492 11,746 5,873 17,620 8,810 4,405 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479

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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