2² × 3⁵ × 5² × 7

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 631,904

Proper Divisor Sum 461,804

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #170099 ← → #170101

Radix Representation

Decimal	170100
Binary	101001100001110100 (18 bits)
Octal	0o514164
Hexadecimal	0x29874

Divisor Catalog (60 of 108)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 81 84 90 100 105 108 126 135 140 150 162 175 180 189 210 225 243 252 270 300 315 324 350 378 405 420 450 486 525 540 567

Collatz Trajectory (59 steps to reach 1)

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

170,100 85,050 42,525 127,576 63,788 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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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