λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,979,040
1,979,040
25 × 3 × 5 × 7 × 19 × 31
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7 × 19 × 31
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 192
Divisor Sum (σ) 7,741,440
Proper Divisor Sum 5,762,400
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1979039 ← → #1979051

Radix Representation

Decimal 1979040
Binary 111100011001010100000 (21 bits)
Octal 0o7431240
Hexadecimal 0x1E32A0

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 31 32 35 38 40 42 48 56 57 60 62 70 76 80 84 93 95 96 105 112 114 120 124 133 140 152 155 160 168 186 190 210 217 224 228 240 248 266 280 285 304

Collatz Trajectory (153 steps to reach 1)

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

1,979,040 989,520 494,760 247,380 123,690 61,845 185,536 92,768 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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