2⁴ × 3² × 7 × 13 × 67

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 13 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 3,069,248

Proper Divisor Sum 2,191,280

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #877949 ← → #877997

Radix Representation

Decimal	877968
Binary	11010110010110010000 (20 bits)
Octal	0o3262620
Hexadecimal	0xD6590

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 67 72 78 84 91 104 112 117 126 134 144 156 168 182 201 208 234 252 268 273 312 336 364 402 468 469 504 536 546 603 624 728 804 819 871 936

Collatz Trajectory (95 steps to reach 1)

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

877,968 438,984 219,492 109,746 54,873 164,620 82,310 41,155 123,466 61,733 185,200 92,600 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931

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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