λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,225,820
3,225,820
22 × 5 × 13 × 19 × 653
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 19 × 653
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,691,040
Proper Divisor Sum 4,465,220
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3225793 ← → #3225821

Radix Representation

Decimal 3225820
Binary 1100010011100011011100 (22 bits)
Octal 0o14234334
Hexadecimal 0x3138DC

Divisor Catalog (48)

1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 190 247 260 380 494 653 988 1,235 1,306 2,470 2,612 3,265 4,940 6,530 8,489 12,407 13,060 16,978 24,814 33,956 42,445 49,628 62,035 84,890 124,070 161,291 169,780 248,140 322,582 645,164 806,455 1,612,910 3,225,820

Collatz Trajectory (133 steps to reach 1)

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

3,225,820 1,612,910 806,455 2,419,366 1,209,683 3,629,050 1,814,525 5,443,576 2,721,788 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 #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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