λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,404,644
32,404,644
22 × 33 × 300043
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^3 × 300043
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 84,012,320
Proper Divisor Sum 51,607,676
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32404607 ← → #32404649

Radix Representation

Decimal 32404644
Binary 1111011100111010010100100 (25 bits)
Octal 0o173472244
Hexadecimal 0x1EE74A4

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 300,043 600,086 900,129 1,200,172 1,800,258 2,700,387 3,600,516 5,400,774 8,101,161 10,801,548 16,202,322 32,404,644

Collatz Trajectory (144 steps to reach 1)

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

32,404,644 16,202,322 8,101,161 24,303,484 12,151,742 6,075,871 18,227,614 9,113,807 27,341,422 13,670,711 41,012,134 20,506,067 61,518,202 30,759,101 92,277,304 46,138,652 23,069,326 11,534,663 34,603,990 17,301,995 51,905,986 25,952,993 77,858,980 38,929,490 19,464,745 58,394,236 29,197,118 14,598,559 43,795,678 21,897,839 65,693,518 32,846,759 98,540,278 49,270,139 147,810,418 73,905,209 221,715,628 110,857,814 55,428,907 166,286,722 83,143,361 249,430,084 124,715,042 62,357,521 187,072,564 93,536,282 46,768,141 140,304,424 70,152,212 35,076,106 17,538,053 52,614,160 26,307,080 13,153,540 6,576,770 3,288,385 9,865,156 4,932,578 2,466,289 7,398,868

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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