λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,225,816
3,225,816
23 × 32 × 11 × 4073
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 4073
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,533,160
Proper Divisor Sum 6,307,344
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3225793 ← → #3225821

Radix Representation

Decimal 3225816
Binary 1100010011100011011000 (22 bits)
Octal 0o14234330
Hexadecimal 0x3138D8

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 4,073 8,146 12,219 16,292 24,438 32,584 36,657 44,803 48,876 73,314 89,606 97,752 134,409 146,628 179,212 268,818 293,256 358,424 403,227 537,636 806,454 1,075,272 1,612,908 3,225,816

Collatz Trajectory (133 steps to reach 1)

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

3,225,816 1,612,908 806,454 403,227 1,209,682 604,841 1,814,524 907,262 453,631 1,360,894 680,447 2,041,342 1,020,671 3,062,014 1,531,007 4,593,022 2,296,511 6,889,534 3,444,767 10,334,302 5,167,151 15,501,454 7,750,727 23,252,182 11,626,091 34,878,274 17,439,137 52,317,412 26,158,706 13,079,353 39,238,060 19,619,030 9,809,515 29,428,546 14,714,273 44,142,820 22,071,410 11,035,705 33,107,116 16,553,558 8,276,779 24,830,338 12,415,169 37,245,508 18,622,754 9,311,377 27,934,132 13,967,066 6,983,533 20,950,600 10,475,300 5,237,650 2,618,825 7,856,476 3,928,238 1,964,119 5,892,358 2,946,179 8,838,538 4,419,269

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
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