λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,901,800
6,901,800
23 × 3 × 52 × 11503
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 11503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,397,440
Proper Divisor Sum 14,495,640
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6901799 ← → #6901823

Radix Representation

Decimal 6901800
Binary 11010010101000000101000 (23 bits)
Octal 0o32250050
Hexadecimal 0x695028

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 11,503 23,006 34,509 46,012 57,515 69,018 92,024 115,030 138,036 172,545 230,060 276,072 287,575 345,090 460,120 575,150 690,180 862,725 1,150,300 1,380,360 1,725,450 2,300,600 3,450,900 6,901,800

Collatz Trajectory (98 steps to reach 1)

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

6,901,800 3,450,900 1,725,450 862,725 2,588,176 1,294,088 647,044 323,522 161,761 485,284 242,642 121,321 363,964 181,982 90,991 272,974 136,487 409,462 204,731 614,194 307,097 921,292 460,646 230,323 690,970 345,485 1,036,456 518,228 259,114 129,557 388,672 194,336 97,168 48,584 24,292 12,146 6,073 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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