2⁴ × 3² × 5 × 23 × 41

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 23 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 2,437,344

Proper Divisor Sum 1,758,384

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #678959 ← → #678971

Radix Representation

Decimal	678960
Binary	10100101110000110000 (20 bits)
Octal	0o2456060
Hexadecimal	0xA5C30

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 41 45 46 48 60 69 72 80 82 90 92 115 120 123 138 144 164 180 184 205 207 230 240 246 276 328 345 360 368 369 410 414 460 492 552 615 656 690 720 738 820

Collatz Trajectory (110 steps to reach 1)

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

678,960 339,480 169,740 84,870 42,435 127,306 63,653 190,960 95,480 47,740 23,870 11,935 35,806 17,903 53,710 26,855 80,566 40,283 120,850 60,425 181,276 90,638 45,319 135,958 67,979 203,938 101,969 305,908 152,954 76,477 229,432 114,716 57,358 28,679 86,038 43,019 129,058 64,529 193,588 96,794 48,397 145,192 72,596 36,298 18,149 54,448 27,224 13,612 6,806 3,403 10,210 5,105 15,316 7,658 3,829 11,488 5,744 2,872 1,436 718

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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