λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,274,390
45,274,390
2 × 5 × 7 × 137 × 4721
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 137 × 4721
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 93,835,584
Proper Divisor Sum 48,561,194
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #45274387 ← → #45274393

Radix Representation

Decimal 45274390
Binary 10101100101101010100010110 (26 bits)
Octal 0o254552426
Hexadecimal 0x2B2D516

Divisor Catalog (32)

1 2 5 7 10 14 35 70 137 274 685 959 1,370 1,918 4,721 4,795 9,442 9,590 23,605 33,047 47,210 66,094 165,235 330,470 646,777 1,293,554 3,233,885 4,527,439 6,467,770 9,054,878 22,637,195 45,274,390

Collatz Trajectory (279 steps to reach 1)

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

45,274,390 22,637,195 67,911,586 33,955,793 101,867,380 50,933,690 25,466,845 76,400,536 38,200,268 19,100,134 9,550,067 28,650,202 14,325,101 42,975,304 21,487,652 10,743,826 5,371,913 16,115,740 8,057,870 4,028,935 12,086,806 6,043,403 18,130,210 9,065,105 27,195,316 13,597,658 6,798,829 20,396,488 10,198,244 5,099,122 2,549,561 7,648,684 3,824,342 1,912,171 5,736,514 2,868,257 8,604,772 4,302,386 2,151,193 6,453,580 3,226,790 1,613,395 4,840,186 2,420,093 7,260,280 3,630,140 1,815,070 907,535 2,722,606 1,361,303 4,083,910 2,041,955 6,125,866 3,062,933 9,188,800 4,594,400 2,297,200 1,148,600 574,300 287,150

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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