λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,977,430
3,977,430
2 × 3 × 5 × 197 × 673
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 197 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,608,544
Proper Divisor Sum 5,631,114
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3977429 ← → #3977431

Radix Representation

Decimal 3977430
Binary 1111001011000011010110 (22 bits)
Octal 0o17130326
Hexadecimal 0x3CB0D6

Divisor Catalog (32)

1 2 3 5 6 10 15 30 197 394 591 673 985 1,182 1,346 1,970 2,019 2,955 3,365 4,038 5,910 6,730 10,095 20,190 132,581 265,162 397,743 662,905 795,486 1,325,810 1,988,715 3,977,430

Collatz Trajectory (172 steps to reach 1)

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

3,977,430 1,988,715 5,966,146 2,983,073 8,949,220 4,474,610 2,237,305 6,711,916 3,355,958 1,677,979 5,033,938 2,516,969 7,550,908 3,775,454 1,887,727 5,663,182 2,831,591 8,494,774 4,247,387 12,742,162 6,371,081 19,113,244 9,556,622 4,778,311 14,334,934 7,167,467 21,502,402 10,751,201 32,253,604 16,126,802 8,063,401 24,190,204 12,095,102 6,047,551 18,142,654 9,071,327 27,213,982 13,606,991 40,820,974 20,410,487 61,231,462 30,615,731 91,847,194 45,923,597 137,770,792 68,885,396 34,442,698 17,221,349 51,664,048 25,832,024 12,916,012 6,458,006 3,229,003 9,687,010 4,843,505 14,530,516 7,265,258 3,632,629 10,897,888 5,448,944

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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