2⁴ × 3² × 5 × 7 × 193

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 193

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 3,752,736

Proper Divisor Sum 2,780,016

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #972701 ← → #972721

Radix Representation

Decimal	972720
Binary	11101101011110110000 (20 bits)
Octal	0o3553660
Hexadecimal	0xED7B0

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 193 210 240 252 280 315 336 360 386 420 504 560 579 630 720 772 840 965

Collatz Trajectory (214 steps to reach 1)

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

972,720 486,360 243,180 121,590 60,795 182,386 91,193 273,580 136,790 68,395 205,186 102,593 307,780 153,890 76,945 230,836 115,418 57,709 173,128 86,564 43,282 21,641 64,924 32,462 16,231 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128

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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