2² × 3³ × 5 × 13² × 107

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 13^2 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 33,203,520

Proper Divisor Sum 23,438,700

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9764801 ← → #9764849

Radix Representation

Decimal	9764820
Binary	100101001111111111010100 (24 bits)
Octal	0o45177724
Hexadecimal	0x94FFD4

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 107 108 117 130 135 156 169 180 195 214 234 260 270 321 338 351 390 428 468 507 535 540 585 642 676 702 780 845 963 1,014 1,070 1,170 1,284 1,391 1,404

Collatz Trajectory (207 steps to reach 1)

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

9,764,820 4,882,410 2,441,205 7,323,616 3,661,808 1,830,904 915,452 457,726 228,863 686,590 343,295 1,029,886 514,943 1,544,830 772,415 2,317,246 1,158,623 3,475,870 1,737,935 5,213,806 2,606,903 7,820,710 3,910,355 11,731,066 5,865,533 17,596,600 8,798,300 4,399,150 2,199,575 6,598,726 3,299,363 9,898,090 4,949,045 14,847,136 7,423,568 3,711,784 1,855,892 927,946 463,973 1,391,920 695,960 347,980 173,990 86,995 260,986 130,493 391,480 195,740 97,870 48,935 146,806 73,403 220,210 110,105 330,316 165,158 82,579 247,738 123,869 371,608

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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