λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,537,448
26,537,448
23 × 3 × 7 × 137 × 1153
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 137 × 1153
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 76,440,960
Proper Divisor Sum 49,903,512
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #26537437 ← → #26537449

Radix Representation

Decimal 26537448
Binary 1100101001110110111101000 (25 bits)
Octal 0o145166750
Hexadecimal 0x194EDE8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1,096 1,153 1,644 1,918 2,306 2,877 3,288 3,459 3,836 4,612 5,754 6,918 7,672 8,071 9,224 11,508 13,836 16,142 23,016 24,213 27,672 32,284 48,426 64,568 96,852 157,961 193,704 315,922 473,883 631,844 947,766 1,105,727 1,263,688 1,895,532 2,211,454 3,317,181 3,791,064 4,422,908

Collatz Trajectory (149 steps to reach 1)

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

26,537,448 13,268,724 6,634,362 3,317,181 9,951,544 4,975,772 2,487,886 1,243,943 3,731,830 1,865,915 5,597,746 2,798,873 8,396,620 4,198,310 2,099,155 6,297,466 3,148,733 9,446,200 4,723,100 2,361,550 1,180,775 3,542,326 1,771,163 5,313,490 2,656,745 7,970,236 3,985,118 1,992,559 5,977,678 2,988,839 8,966,518 4,483,259 13,449,778 6,724,889 20,174,668 10,087,334 5,043,667 15,131,002 7,565,501 22,696,504 11,348,252 5,674,126 2,837,063 8,511,190 4,255,595 12,766,786 6,383,393 19,150,180 9,575,090 4,787,545 14,362,636 7,181,318 3,590,659 10,771,978 5,385,989 16,157,968 8,078,984 4,039,492 2,019,746 1,009,873

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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