λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,772,072
2,772,072
23 × 32 × 38501
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 38501
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,507,890
Proper Divisor Sum 4,735,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2772067 ← → #2772079

Radix Representation

Decimal 2772072
Binary 1010100100110001101000 (22 bits)
Octal 0o12446150
Hexadecimal 0x2A4C68

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 38,501 77,002 115,503 154,004 231,006 308,008 346,509 462,012 693,018 924,024 1,386,036 2,772,072

Collatz Trajectory (50 steps to reach 1)

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

2,772,072 1,386,036 693,018 346,509 1,039,528 519,764 259,882 129,941 389,824 194,912 97,456 48,728 24,364 12,182 6,091 18,274 9,137 27,412 13,706 6,853 20,560 10,280 5,140 2,570 1,285 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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