2⁵ × 3² × 17 × 23

Prime Factor Structure

Factorization String 2^5 × 3^2 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 353,808

Proper Divisor Sum 241,200

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #112603 ← → #112621

Radix Representation

Decimal	112608
Binary	11011011111100000 (17 bits)
Octal	0o333740
Hexadecimal	0x1B7E0

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 391 408 414 544 552 612 736 782 816 828 1,104 1,173 1,224 1,564 1,632 1,656 2,208 2,346 2,448 3,128 3,312 3,519 4,692

Collatz Trajectory (84 steps to reach 1)

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

112,608 56,304 28,152 14,076 7,038 3,519 10,558 5,279 15,838 7,919 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292

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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