λ
Ratio Atlas
Atlas › Integer Profiles › Node 50,009,430
50,009,430
2 × 3 × 5 × 43 × 38767
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 43 × 38767
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 122,817,024
Proper Divisor Sum 72,807,594
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #50009419 ← → #50009431

Radix Representation

Decimal 50009430
Binary 10111110110001010101010110 (26 bits)
Octal 0o276612526
Hexadecimal 0x2FB1556

Divisor Catalog (32)

1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1,290 38,767 77,534 116,301 193,835 232,602 387,670 581,505 1,163,010 1,666,981 3,333,962 5,000,943 8,334,905 10,001,886 16,669,810 25,004,715 50,009,430

Collatz Trajectory (261 steps to reach 1)

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

50,009,430 25,004,715 75,014,146 37,507,073 112,521,220 56,260,610 28,130,305 84,390,916 42,195,458 21,097,729 63,293,188 31,646,594 15,823,297 47,469,892 23,734,946 11,867,473 35,602,420 17,801,210 8,900,605 26,701,816 13,350,908 6,675,454 3,337,727 10,013,182 5,006,591 15,019,774 7,509,887 22,529,662 11,264,831 33,794,494 16,897,247 50,691,742 25,345,871 76,037,614 38,018,807 114,056,422 57,028,211 171,084,634 85,542,317 256,626,952 128,313,476 64,156,738 32,078,369 96,235,108 48,117,554 24,058,777 72,176,332 36,088,166 18,044,083 54,132,250 27,066,125 81,198,376 40,599,188 20,299,594 10,149,797 30,449,392 15,224,696 7,612,348 3,806,174 1,903,087

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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