λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,362,016
3,362,016
25 × 3 × 7 × 5003
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 5003
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,088,064
Proper Divisor Sum 6,726,048
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3361991 ← → #3362017

Radix Representation

Decimal 3362016
Binary 1100110100110011100000 (22 bits)
Octal 0o14646340
Hexadecimal 0x334CE0

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 5,003 10,006 15,009 20,012 30,018 35,021 40,024 60,036 70,042 80,048 105,063 120,072 140,084 160,096 210,126 240,144 280,168 420,252 480,288 560,336 840,504 1,120,672 1,681,008 3,362,016

Collatz Trajectory (133 steps to reach 1)

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

3,362,016 1,681,008 840,504 420,252 210,126 105,063 315,190 157,595 472,786 236,393 709,180 354,590 177,295 531,886 265,943 797,830 398,915 1,196,746 598,373 1,795,120 897,560 448,780 224,390 112,195 336,586 168,293 504,880 252,440 126,220 63,110 31,555 94,666 47,333 142,000 71,000 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #3,362,015 Browse Full Index Next Integer #3,362,017 →