λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,744,328
15,744,328
23 × 23 × 41 × 2087
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 23 × 41 × 2087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 31,570,560
Proper Divisor Sum 15,826,232
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #15744319 ← → #15744343

Radix Representation

Decimal 15744328
Binary 111100000011110101001000 (24 bits)
Octal 0o74036510
Hexadecimal 0xF03D48

Divisor Catalog (32)

1 2 4 8 23 41 46 82 92 164 184 328 943 1,886 2,087 3,772 4,174 7,544 8,348 16,696 48,001 85,567 96,002 171,134 192,004 342,268 384,008 684,536 1,968,041 3,936,082 7,872,164 15,744,328

Collatz Trajectory (324 steps to reach 1)

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

15,744,328 7,872,164 3,936,082 1,968,041 5,904,124 2,952,062 1,476,031 4,428,094 2,214,047 6,642,142 3,321,071 9,963,214 4,981,607 14,944,822 7,472,411 22,417,234 11,208,617 33,625,852 16,812,926 8,406,463 25,219,390 12,609,695 37,829,086 18,914,543 56,743,630 28,371,815 85,115,446 42,557,723 127,673,170 63,836,585 191,509,756 95,754,878 47,877,439 143,632,318 71,816,159 215,448,478 107,724,239 323,172,718 161,586,359 484,759,078 242,379,539 727,138,618 363,569,309 1,090,707,928 545,353,964 272,676,982 136,338,491 409,015,474 204,507,737 613,523,212 306,761,606 153,380,803 460,142,410 230,071,205 690,213,616 345,106,808 172,553,404 86,276,702 43,138,351 129,415,054

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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