λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,912,435
3,912,435
33 × 5 × 73 × 397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 73 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,068,480
Proper Divisor Sum 3,156,045
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3912413 ← → #3912439

Radix Representation

Decimal 3912435
Binary 1110111011001011110011 (22 bits)
Octal 0o16731363
Hexadecimal 0x3BB2F3

Divisor Catalog (32)

1 3 5 9 15 27 45 73 135 219 365 397 657 1,095 1,191 1,971 1,985 3,285 3,573 5,955 9,855 10,719 17,865 28,981 53,595 86,943 144,905 260,829 434,715 782,487 1,304,145 3,912,435

Collatz Trajectory (128 steps to reach 1)

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

3,912,435 11,737,306 5,868,653 17,605,960 8,802,980 4,401,490 2,200,745 6,602,236 3,301,118 1,650,559 4,951,678 2,475,839 7,427,518 3,713,759 11,141,278 5,570,639 16,711,918 8,355,959 25,067,878 12,533,939 37,601,818 18,800,909 56,402,728 28,201,364 14,100,682 7,050,341 21,151,024 10,575,512 5,287,756 2,643,878 1,321,939 3,965,818 1,982,909 5,948,728 2,974,364 1,487,182 743,591 2,230,774 1,115,387 3,346,162 1,673,081 5,019,244 2,509,622 1,254,811 3,764,434 1,882,217 5,646,652 2,823,326 1,411,663 4,234,990 2,117,495 6,352,486 3,176,243 9,528,730 4,764,365 14,293,096 7,146,548 3,573,274 1,786,637 5,359,912

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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