2⁷ × 3³ × 5 × 41

Prime Factor Structure

Factorization String 2^7 × 3^3 × 5 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,570,400

Proper Divisor Sum 1,861,920

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #708479 ← → #708481

Radix Representation

Decimal	708480
Binary	10101100111110000000 (20 bits)
Octal	0o2547600
Hexadecimal	0xACF80

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 41 45 48 54 60 64 72 80 82 90 96 108 120 123 128 135 144 160 164 180 192 205 216 240 246 270 288 320 328 360 369 384 410 432 480 492 540 576 615 640

Collatz Trajectory (136 steps to reach 1)

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

708,480 354,240 177,120 88,560 44,280 22,140 11,070 5,535 16,606 8,303 24,910 12,455 37,366 18,683 56,050 28,025 84,076 42,038 21,019 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447 67,342 33,671 101,014 50,507 151,522 75,761 227,284 113,642 56,821 170,464 85,232 42,616 21,308 10,654 5,327 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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