λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,374,400
3,374,400
26 × 3 × 52 × 19 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 19 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 168
Divisor Sum (σ) 11,968,480
Proper Divisor Sum 8,594,080
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3374389 ← → #3374407

Radix Representation

Decimal 3374400
Binary 1100110111110101000000 (22 bits)
Octal 0o14676500
Hexadecimal 0x337D40

Divisor Catalog (60 of 168)

1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 37 38 40 48 50 57 60 64 74 75 76 80 95 96 100 111 114 120 148 150 152 160 185 190 192 200 222 228 240 285 296 300 304 320 370 380 400 444 456 475 480 555 570

Collatz Trajectory (146 steps to reach 1)

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

3,374,400 1,687,200 843,600 421,800 210,900 105,450 52,725 158,176 79,088 39,544 19,772 9,886 4,943 14,830 7,415 22,246 11,123 33,370 16,685 50,056 25,028 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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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