λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,806,440
2,806,440
23 × 3 × 5 × 7 × 13 × 257
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 13 × 257
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 10,402,560
Proper Divisor Sum 7,596,120
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2806439 ← → #2806457

Radix Representation

Decimal 2806440
Binary 1010101101001010101000 (22 bits)
Octal 0o12551250
Hexadecimal 0x2AD2A8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 257 260 273 280 312 364 390 420 455 514 520 546 728 771 780 840 910 1,028 1,092

Collatz Trajectory (50 steps to reach 1)

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

2,806,440 1,403,220 701,610 350,805 1,052,416 526,208 263,104 131,552 65,776 32,888 16,444 8,222 4,111 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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