λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,313,716
26,313,716
22 × 11 × 13 × 179 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 179 × 257
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 54,613,440
Proper Divisor Sum 28,299,724
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #26313667 ← → #26313731

Radix Representation

Decimal 26313716
Binary 1100100011000001111110100 (25 bits)
Octal 0o144301764
Hexadecimal 0x19183F4

Divisor Catalog (48)

1 2 4 11 13 22 26 44 52 143 179 257 286 358 514 572 716 1,028 1,969 2,327 2,827 3,341 3,938 4,654 5,654 6,682 7,876 9,308 11,308 13,364 25,597 36,751 46,003 51,194 73,502 92,006 102,388 147,004 184,012 506,033 598,039 1,012,066 1,196,078 2,024,132 2,392,156 6,578,429 13,156,858 26,313,716

Collatz Trajectory (198 steps to reach 1)

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

26,313,716 13,156,858 6,578,429 19,735,288 9,867,644 4,933,822 2,466,911 7,400,734 3,700,367 11,101,102 5,550,551 16,651,654 8,325,827 24,977,482 12,488,741 37,466,224 18,733,112 9,366,556 4,683,278 2,341,639 7,024,918 3,512,459 10,537,378 5,268,689 15,806,068 7,903,034 3,951,517 11,854,552 5,927,276 2,963,638 1,481,819 4,445,458 2,222,729 6,668,188 3,334,094 1,667,047 5,001,142 2,500,571 7,501,714 3,750,857 11,252,572 5,626,286 2,813,143 8,439,430 4,219,715 12,659,146 6,329,573 18,988,720 9,494,360 4,747,180 2,373,590 1,186,795 3,560,386 1,780,193 5,340,580 2,670,290 1,335,145 4,005,436 2,002,718 1,001,359

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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