λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,456,440
4,456,440
23 × 32 × 5 × 12379
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 12379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,484,600
Proper Divisor Sum 10,028,160
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4456433 ← → #4456451

Radix Representation

Decimal 4456440
Binary 10000111111111111111000 (23 bits)
Octal 0o20777770
Hexadecimal 0x43FFF8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12,379 24,758 37,137 49,516 61,895 74,274 99,032 111,411 123,790 148,548 185,685 222,822 247,580 297,096 371,370 445,644 495,160 557,055 742,740 891,288 1,114,110 1,485,480 2,228,220 4,456,440

Collatz Trajectory (224 steps to reach 1)

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

4,456,440 2,228,220 1,114,110 557,055 1,671,166 835,583 2,506,750 1,253,375 3,760,126 1,880,063 5,640,190 2,820,095 8,460,286 4,230,143 12,690,430 6,345,215 19,035,646 9,517,823 28,553,470 14,276,735 42,830,206 21,415,103 64,245,310 32,122,655 96,367,966 48,183,983 144,551,950 72,275,975 216,827,926 108,413,963 325,241,890 162,620,945 487,862,836 243,931,418 121,965,709 365,897,128 182,948,564 91,474,282 45,737,141 137,211,424 68,605,712 34,302,856 17,151,428 8,575,714 4,287,857 12,863,572 6,431,786 3,215,893 9,647,680 4,823,840 2,411,920 1,205,960 602,980 301,490 150,745 452,236 226,118 113,059 339,178 169,589

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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