λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,201,636
72,201,636
22 × 32 × 13 × 154277
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 154277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 196,550,172
Proper Divisor Sum 124,348,536
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72201611 ← → #72201637

Radix Representation

Decimal 72201636
Binary 100010011011011010110100100 (27 bits)
Octal 0o423332644
Hexadecimal 0x44DB5A4

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 154,277 308,554 462,831 617,108 925,662 1,388,493 1,851,324 2,005,601 2,776,986 4,011,202 5,553,972 6,016,803 8,022,404 12,033,606 18,050,409 24,067,212 36,100,818 72,201,636

Collatz Trajectory (166 steps to reach 1)

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

72,201,636 36,100,818 18,050,409 54,151,228 27,075,614 13,537,807 40,613,422 20,306,711 60,920,134 30,460,067 91,380,202 45,690,101 137,070,304 68,535,152 34,267,576 17,133,788 8,566,894 4,283,447 12,850,342 6,425,171 19,275,514 9,637,757 28,913,272 14,456,636 7,228,318 3,614,159 10,842,478 5,421,239 16,263,718 8,131,859 24,395,578 12,197,789 36,593,368 18,296,684 9,148,342 4,574,171 13,722,514 6,861,257 20,583,772 10,291,886 5,145,943 15,437,830 7,718,915 23,156,746 11,578,373 34,735,120 17,367,560 8,683,780 4,341,890 2,170,945 6,512,836 3,256,418 1,628,209 4,884,628 2,442,314 1,221,157 3,663,472 1,831,736 915,868 457,934

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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