2⁵ × 5² × 11 × 19

Prime Factor Structure

Factorization String 2^5 × 5^2 × 11 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 468,720

Proper Divisor Sum 301,520

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #167197 ← → #167213

Radix Representation

Decimal	167200
Binary	101000110100100000 (18 bits)
Octal	0o506440
Hexadecimal	0x28D20

Divisor Catalog (60 of 72)

1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 76 80 88 95 100 110 152 160 176 190 200 209 220 275 304 352 380 400 418 440 475 550 608 760 800 836 880 950 1,045 1,100 1,520 1,672 1,760 1,900 2,090 2,200 3,040 3,344 3,800 4,180 4,400 5,225

Collatz Trajectory (90 steps to reach 1)

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

167,200 83,600 41,800 20,900 10,450 5,225 15,676 7,838 3,919 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59 178

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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