λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,768,684
15,768,684
22 × 32 × 647 × 677
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 647 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 39,980,304
Proper Divisor Sum 24,211,620
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #15768671 ← → #15768713

Radix Representation

Decimal 15768684
Binary 111100001001110001101100 (24 bits)
Octal 0o74116154
Hexadecimal 0xF09C6C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 647 677 1,294 1,354 1,941 2,031 2,588 2,708 3,882 4,062 5,823 6,093 7,764 8,124 11,646 12,186 23,292 24,372 438,019 876,038 1,314,057 1,752,076 2,628,114 3,942,171 5,256,228 7,884,342 15,768,684

Collatz Trajectory (148 steps to reach 1)

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

15,768,684 7,884,342 3,942,171 11,826,514 5,913,257 17,739,772 8,869,886 4,434,943 13,304,830 6,652,415 19,957,246 9,978,623 29,935,870 14,967,935 44,903,806 22,451,903 67,355,710 33,677,855 101,033,566 50,516,783 151,550,350 75,775,175 227,325,526 113,662,763 340,988,290 170,494,145 511,482,436 255,741,218 127,870,609 383,611,828 191,805,914 95,902,957 287,708,872 143,854,436 71,927,218 35,963,609 107,890,828 53,945,414 26,972,707 80,918,122 40,459,061 121,377,184 60,688,592 30,344,296 15,172,148 7,586,074 3,793,037 11,379,112 5,689,556 2,844,778 1,422,389 4,267,168 2,133,584 1,066,792 533,396 266,698 133,349 400,048 200,024 100,012

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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