λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,856,440
26,856,440
23 × 5 × 13 × 51647
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 51647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,076,480
Proper Divisor Sum 38,220,040
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #26856437 ← → #26856449

Radix Representation

Decimal 26856440
Binary 1100110011100101111111000 (25 bits)
Octal 0o146345770
Hexadecimal 0x199CBF8

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 51,647 103,294 206,588 258,235 413,176 516,470 671,411 1,032,940 1,342,822 2,065,880 2,685,644 3,357,055 5,371,288 6,714,110 13,428,220 26,856,440

Collatz Trajectory (211 steps to reach 1)

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

26,856,440 13,428,220 6,714,110 3,357,055 10,071,166 5,035,583 15,106,750 7,553,375 22,660,126 11,330,063 33,990,190 16,995,095 50,985,286 25,492,643 76,477,930 38,238,965 114,716,896 57,358,448 28,679,224 14,339,612 7,169,806 3,584,903 10,754,710 5,377,355 16,132,066 8,066,033 24,198,100 12,099,050 6,049,525 18,148,576 9,074,288 4,537,144 2,268,572 1,134,286 567,143 1,701,430 850,715 2,552,146 1,276,073 3,828,220 1,914,110 957,055 2,871,166 1,435,583 4,306,750 2,153,375 6,460,126 3,230,063 9,690,190 4,845,095 14,535,286 7,267,643 21,802,930 10,901,465 32,704,396 16,352,198 8,176,099 24,528,298 12,264,149 36,792,448

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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