2⁵ × 3⁴ × 23 × 47

Prime Factor Structure

Factorization String 2^5 × 3^4 × 23 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 8,781,696

Proper Divisor Sum 5,979,744

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2801941 ← → #2801971

Radix Representation

Decimal	2801952
Binary	1010101100000100100000 (22 bits)
Octal	0o12540440
Hexadecimal	0x2AC120

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 69 72 81 92 94 96 108 138 141 144 162 184 188 207 216 276 282 288 324 368 376 414 423 432 552 564 621 648 736 752 828 846 864 1,081 1,104 1,128 1,242 1,269 1,296 1,504 1,656

Collatz Trajectory (107 steps to reach 1)

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

2,801,952 1,400,976 700,488 350,244 175,122 87,561 262,684 131,342 65,671 197,014 98,507 295,522 147,761 443,284 221,642 110,821 332,464 166,232 83,116 41,558 20,779 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968

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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