λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,086,830
42,086,830
2 × 5 × 29 × 103 × 1409
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 29 × 103 × 1409
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 79,185,600
Proper Divisor Sum 37,098,770
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #42086827 ← → #42086831

Radix Representation

Decimal 42086830
Binary 10100000100011000110101110 (26 bits)
Octal 0o240430656
Hexadecimal 0x28231AE

Divisor Catalog (32)

1 2 5 10 29 58 103 145 206 290 515 1,030 1,409 2,818 2,987 5,974 7,045 14,090 14,935 29,870 40,861 81,722 145,127 204,305 290,254 408,610 725,635 1,451,270 4,208,683 8,417,366 21,043,415 42,086,830

Collatz Trajectory (297 steps to reach 1)

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

42,086,830 21,043,415 63,130,246 31,565,123 94,695,370 47,347,685 142,043,056 71,021,528 35,510,764 17,755,382 8,877,691 26,633,074 13,316,537 39,949,612 19,974,806 9,987,403 29,962,210 14,981,105 44,943,316 22,471,658 11,235,829 33,707,488 16,853,744 8,426,872 4,213,436 2,106,718 1,053,359 3,160,078 1,580,039 4,740,118 2,370,059 7,110,178 3,555,089 10,665,268 5,332,634 2,666,317 7,998,952 3,999,476 1,999,738 999,869 2,999,608 1,499,804 749,902 374,951 1,124,854 562,427 1,687,282 843,641 2,530,924 1,265,462 632,731 1,898,194 949,097 2,847,292 1,423,646 711,823 2,135,470 1,067,735 3,203,206 1,601,603

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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