λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,977,046
3,977,046
2 × 33 × 47 × 1567
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^3 × 47 × 1567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,031,680
Proper Divisor Sum 5,054,634
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3977011 ← → #3977059

Radix Representation

Decimal 3977046
Binary 1111001010111101010110 (22 bits)
Octal 0o17127526
Hexadecimal 0x3CAF56

Divisor Catalog (32)

1 2 3 6 9 18 27 47 54 94 141 282 423 846 1,269 1,567 2,538 3,134 4,701 9,402 14,103 28,206 42,309 73,649 84,618 147,298 220,947 441,894 662,841 1,325,682 1,988,523 3,977,046

Collatz Trajectory (353 steps to reach 1)

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

3,977,046 1,988,523 5,965,570 2,982,785 8,948,356 4,474,178 2,237,089 6,711,268 3,355,634 1,677,817 5,033,452 2,516,726 1,258,363 3,775,090 1,887,545 5,662,636 2,831,318 1,415,659 4,246,978 2,123,489 6,370,468 3,185,234 1,592,617 4,777,852 2,388,926 1,194,463 3,583,390 1,791,695 5,375,086 2,687,543 8,062,630 4,031,315 12,093,946 6,046,973 18,140,920 9,070,460 4,535,230 2,267,615 6,802,846 3,401,423 10,204,270 5,102,135 15,306,406 7,653,203 22,959,610 11,479,805 34,439,416 17,219,708 8,609,854 4,304,927 12,914,782 6,457,391 19,372,174 9,686,087 29,058,262 14,529,131 43,587,394 21,793,697 65,381,092 32,690,546

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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