2⁴ × 5² × 7² × 13 × 17

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7^2 × 13 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 13,803,804

Proper Divisor Sum 9,472,204

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #4331581 ← → #4331611

Radix Representation

Decimal	4331600
Binary	10000100001100001010000 (23 bits)
Octal	0o20414120
Hexadecimal	0x421850

Divisor Catalog (60 of 180)

1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 34 35 40 49 50 52 56 65 68 70 80 85 91 98 100 104 112 119 130 136 140 170 175 182 196 200 208 221 238 245 260 272 280 325 340 350 364 392 400 425 442 455 476 490 520

Collatz Trajectory (105 steps to reach 1)

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

4,331,600 2,165,800 1,082,900 541,450 270,725 812,176 406,088 203,044 101,522 50,761 152,284 76,142 38,071 114,214 57,107 171,322 85,661 256,984 128,492 64,246 32,123 96,370 48,185 144,556 72,278 36,139 108,418 54,209 162,628 81,314 40,657 121,972 60,986 30,493 91,480 45,740 22,870 11,435 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237 21,712 10,856 5,428 2,714 1,357 4,072 2,036 1,018 509 1,528 764

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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