λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,329,478
26,329,478
2 × 7 × 19 × 312 × 103
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 19 × 31^2 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 49,570,560
Proper Divisor Sum 23,241,082
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #26329463 ← → #26329483

Radix Representation

Decimal 26329478
Binary 1100100011100000110000110 (25 bits)
Octal 0o144340606
Hexadecimal 0x191C186

Divisor Catalog (48)

1 2 7 14 19 31 38 62 103 133 206 217 266 434 589 721 961 1,178 1,442 1,922 1,957 3,193 3,914 4,123 6,386 6,727 8,246 13,454 13,699 18,259 22,351 27,398 36,518 44,702 60,667 98,983 121,334 127,813 197,966 255,626 424,669 692,881 849,338 1,385,762 1,880,677 3,761,354 13,164,739 26,329,478

Collatz Trajectory (118 steps to reach 1)

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

26,329,478 13,164,739 39,494,218 19,747,109 59,241,328 29,620,664 14,810,332 7,405,166 3,702,583 11,107,750 5,553,875 16,661,626 8,330,813 24,992,440 12,496,220 6,248,110 3,124,055 9,372,166 4,686,083 14,058,250 7,029,125 21,087,376 10,543,688 5,271,844 2,635,922 1,317,961 3,953,884 1,976,942 988,471 2,965,414 1,482,707 4,448,122 2,224,061 6,672,184 3,336,092 1,668,046 834,023 2,502,070 1,251,035 3,753,106 1,876,553 5,629,660 2,814,830 1,407,415 4,222,246 2,111,123 6,333,370 3,166,685 9,500,056 4,750,028 2,375,014 1,187,507 3,562,522 1,781,261 5,343,784 2,671,892 1,335,946 667,973 2,003,920 1,001,960

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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