λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,782,820
26,782,820
22 × 5 × 17 × 37 × 2129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 37 × 2129
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,190,640
Proper Divisor Sum 34,407,820
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #26782801 ← → #26782829

Radix Representation

Decimal 26782820
Binary 1100110001010110001100100 (25 bits)
Octal 0o146126144
Hexadecimal 0x198AC64

Divisor Catalog (48)

1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1,258 2,129 2,516 3,145 4,258 6,290 8,516 10,645 12,580 21,290 36,193 42,580 72,386 78,773 144,772 157,546 180,965 315,092 361,930 393,865 723,860 787,730 1,339,141 1,575,460 2,678,282 5,356,564 6,695,705 13,391,410 26,782,820

Collatz Trajectory (167 steps to reach 1)

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

26,782,820 13,391,410 6,695,705 20,087,116 10,043,558 5,021,779 15,065,338 7,532,669 22,598,008 11,299,004 5,649,502 2,824,751 8,474,254 4,237,127 12,711,382 6,355,691 19,067,074 9,533,537 28,600,612 14,300,306 7,150,153 21,450,460 10,725,230 5,362,615 16,087,846 8,043,923 24,131,770 12,065,885 36,197,656 18,098,828 9,049,414 4,524,707 13,574,122 6,787,061 20,361,184 10,180,592 5,090,296 2,545,148 1,272,574 636,287 1,908,862 954,431 2,863,294 1,431,647 4,294,942 2,147,471 6,442,414 3,221,207 9,663,622 4,831,811 14,495,434 7,247,717 21,743,152 10,871,576 5,435,788 2,717,894 1,358,947 4,076,842 2,038,421 6,115,264

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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