2 × 3³ × 5 × 7 × 13 × 31

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 7 × 13 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 2,580,480

Proper Divisor Sum 1,818,810

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #761669 ← → #761671

Radix Representation

Decimal	761670
Binary	10111001111101000110 (20 bits)
Octal	0o2717506
Hexadecimal	0xB9F46

Divisor Catalog (60 of 128)

1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 31 35 39 42 45 54 62 63 65 70 78 90 91 93 105 117 126 130 135 155 182 186 189 195 210 217 234 270 273 279 310 315 351 378 390 403 434 455 465 546 558 585 630 651

Collatz Trajectory (79 steps to reach 1)

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

761,670 380,835 1,142,506 571,253 1,713,760 856,880 428,440 214,220 107,110 53,555 160,666 80,333 241,000 120,500 60,250 30,125 90,376 45,188 22,594 11,297 33,892 16,946 8,473 25,420 12,710 6,355 19,066 9,533 28,600 14,300 7,150 3,575 10,726 5,363 16,090 8,045 24,136 12,068 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840

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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