λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,558,136
26,558,136
23 × 32 × 11 × 33533
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 33533
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 78,469,560
Proper Divisor Sum 51,911,424
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #26558111 ← → #26558137

Radix Representation

Decimal 26558136
Binary 1100101010011111010111000 (25 bits)
Octal 0o145237270
Hexadecimal 0x1953EB8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 33,533 67,066 100,599 134,132 201,198 268,264 301,797 368,863 402,396 603,594 737,726 804,792 1,106,589 1,207,188 1,475,452 2,213,178 2,414,376 2,950,904 3,319,767 4,426,356 6,639,534 8,852,712 13,279,068 26,558,136

Collatz Trajectory (149 steps to reach 1)

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

26,558,136 13,279,068 6,639,534 3,319,767 9,959,302 4,979,651 14,938,954 7,469,477 22,408,432 11,204,216 5,602,108 2,801,054 1,400,527 4,201,582 2,100,791 6,302,374 3,151,187 9,453,562 4,726,781 14,180,344 7,090,172 3,545,086 1,772,543 5,317,630 2,658,815 7,976,446 3,988,223 11,964,670 5,982,335 17,947,006 8,973,503 26,920,510 13,460,255 40,380,766 20,190,383 60,571,150 30,285,575 90,856,726 45,428,363 136,285,090 68,142,545 204,427,636 102,213,818 51,106,909 153,320,728 76,660,364 38,330,182 19,165,091 57,495,274 28,747,637 86,242,912 43,121,456 21,560,728 10,780,364 5,390,182 2,695,091 8,085,274 4,042,637 12,127,912 6,063,956

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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