λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,428,754
6,428,754
2 × 33 × 17 × 47 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 17 × 47 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,552,000
Proper Divisor Sum 9,123,246
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6428743 ← → #6428761

Radix Representation

Decimal 6428754
Binary 11000100001100001010010 (23 bits)
Octal 0o30414122
Hexadecimal 0x621852

Divisor Catalog (60 of 64)

1 2 3 6 9 17 18 27 34 47 51 54 94 102 141 149 153 282 298 306 423 447 459 799 846 894 918 1,269 1,341 1,598 2,397 2,533 2,538 2,682 4,023 4,794 5,066 7,003 7,191 7,599 8,046 14,006 14,382 15,198 21,009 21,573 22,797 42,018 43,146 45,594 63,027 68,391 119,051 126,054 136,782 189,081 238,102 357,153 378,162 714,306

Collatz Trajectory (271 steps to reach 1)

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

6,428,754 3,214,377 9,643,132 4,821,566 2,410,783 7,232,350 3,616,175 10,848,526 5,424,263 16,272,790 8,136,395 24,409,186 12,204,593 36,613,780 18,306,890 9,153,445 27,460,336 13,730,168 6,865,084 3,432,542 1,716,271 5,148,814 2,574,407 7,723,222 3,861,611 11,584,834 5,792,417 17,377,252 8,688,626 4,344,313 13,032,940 6,516,470 3,258,235 9,774,706 4,887,353 14,662,060 7,331,030 3,665,515 10,996,546 5,498,273 16,494,820 8,247,410 4,123,705 12,371,116 6,185,558 3,092,779 9,278,338 4,639,169 13,917,508 6,958,754 3,479,377 10,438,132 5,219,066 2,609,533 7,828,600 3,914,300 1,957,150 978,575 2,935,726 1,467,863

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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