λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,478,124
39,478,124
22 × 72 × 19 × 10601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 19 × 10601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 84,603,960
Proper Divisor Sum 45,125,836
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #39478099 ← → #39478129

Radix Representation

Decimal 39478124
Binary 10010110100110001101101100 (26 bits)
Octal 0o226461554
Hexadecimal 0x25A636C

Divisor Catalog (36)

1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1,862 3,724 10,601 21,202 42,404 74,207 148,414 201,419 296,828 402,838 519,449 805,676 1,038,898 1,409,933 2,077,796 2,819,866 5,639,732 9,869,531 19,739,062 39,478,124

Collatz Trajectory (209 steps to reach 1)

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

39,478,124 19,739,062 9,869,531 29,608,594 14,804,297 44,412,892 22,206,446 11,103,223 33,309,670 16,654,835 49,964,506 24,982,253 74,946,760 37,473,380 18,736,690 9,368,345 28,105,036 14,052,518 7,026,259 21,078,778 10,539,389 31,618,168 15,809,084 7,904,542 3,952,271 11,856,814 5,928,407 17,785,222 8,892,611 26,677,834 13,338,917 40,016,752 20,008,376 10,004,188 5,002,094 2,501,047 7,503,142 3,751,571 11,254,714 5,627,357 16,882,072 8,441,036 4,220,518 2,110,259 6,330,778 3,165,389 9,496,168 4,748,084 2,374,042 1,187,021 3,561,064 1,780,532 890,266 445,133 1,335,400 667,700 333,850 166,925 500,776 250,388

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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