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Ratio Atlas
Atlas › Integer Profiles › Node 12,379,315
12,379,315
5 × 13 × 172 × 659
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 17^2 × 659
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,020,080
Proper Divisor Sum 4,640,765
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12379309 ← → #12379319

Radix Representation

Decimal 12379315
Binary 101111001110010010110011 (24 bits)
Octal 0o57162263
Hexadecimal 0xBCE4B3

Divisor Catalog (24)

1 5 13 17 65 85 221 289 659 1,105 1,445 3,295 3,757 8,567 11,203 18,785 42,835 56,015 145,639 190,451 728,195 952,255 2,475,863 12,379,315

Collatz Trajectory (303 steps to reach 1)

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

12,379,315 37,137,946 18,568,973 55,706,920 27,853,460 13,926,730 6,963,365 20,890,096 10,445,048 5,222,524 2,611,262 1,305,631 3,916,894 1,958,447 5,875,342 2,937,671 8,813,014 4,406,507 13,219,522 6,609,761 19,829,284 9,914,642 4,957,321 14,871,964 7,435,982 3,717,991 11,153,974 5,576,987 16,730,962 8,365,481 25,096,444 12,548,222 6,274,111 18,822,334 9,411,167 28,233,502 14,116,751 42,350,254 21,175,127 63,525,382 31,762,691 95,288,074 47,644,037 142,932,112 71,466,056 35,733,028 17,866,514 8,933,257 26,799,772 13,399,886 6,699,943 20,099,830 10,049,915 30,149,746 15,074,873 45,224,620 22,612,310 11,306,155 33,918,466 16,959,233

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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