λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,728,344
6,728,344
23 × 7 × 137 × 877
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 7 × 137 × 877
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,539,680
Proper Divisor Sum 7,811,336
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6728327 ← → #6728347

Radix Representation

Decimal 6728344
Binary 11001101010101010011000 (23 bits)
Octal 0o31525230
Hexadecimal 0x66AA98

Divisor Catalog (32)

1 2 4 7 8 14 28 56 137 274 548 877 959 1,096 1,754 1,918 3,508 3,836 6,139 7,016 7,672 12,278 24,556 49,112 120,149 240,298 480,596 841,043 961,192 1,682,086 3,364,172 6,728,344

Collatz Trajectory (315 steps to reach 1)

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

6,728,344 3,364,172 1,682,086 841,043 2,523,130 1,261,565 3,784,696 1,892,348 946,174 473,087 1,419,262 709,631 2,128,894 1,064,447 3,193,342 1,596,671 4,790,014 2,395,007 7,185,022 3,592,511 10,777,534 5,388,767 16,166,302 8,083,151 24,249,454 12,124,727 36,374,182 18,187,091 54,561,274 27,280,637 81,841,912 40,920,956 20,460,478 10,230,239 30,690,718 15,345,359 46,036,078 23,018,039 69,054,118 34,527,059 103,581,178 51,790,589 155,371,768 77,685,884 38,842,942 19,421,471 58,264,414 29,132,207 87,396,622 43,698,311 131,094,934 65,547,467 196,642,402 98,321,201 294,963,604 147,481,802 73,740,901 221,222,704 110,611,352 55,305,676

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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