2⁵ × 5³ × 7² × 37

Prime Factor Structure

Factorization String 2^5 × 5^3 × 7^2 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 21,287,448

Proper Divisor Sum 14,035,448

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #7251997 ← → #7252019

Radix Representation

Decimal	7252000
Binary	11011101010100000100000 (23 bits)
Octal	0o33524040
Hexadecimal	0x6EA820

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 49 50 56 70 74 80 98 100 112 125 140 148 160 175 185 196 200 224 245 250 259 280 296 350 370 392 400 490 500 518 560 592 700 740 784 800 875 925 980 1,000 1,036 1,120 1,184 1,225

Collatz Trajectory (111 steps to reach 1)

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

7,252,000 3,626,000 1,813,000 906,500 453,250 226,625 679,876 339,938 169,969 509,908 254,954 127,477 382,432 191,216 95,608 47,804 23,902 11,951 35,854 17,927 53,782 26,891 80,674 40,337 121,012 60,506 30,253 90,760 45,380 22,690 11,345 34,036 17,018 8,509 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282

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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