2⁵ × 3 × 5² × 11 × 37

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 11 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 3,562,272

Proper Divisor Sum 2,585,472

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #976799 ← → #976817

Radix Representation

Decimal	976800
Binary	11101110011110100000 (20 bits)
Octal	0o3563640
Hexadecimal	0xEE7A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 66 74 75 80 88 96 100 110 111 120 132 148 150 160 165 176 185 200 220 222 240 264 275 296 300 330 352 370 400 407 440 444 480 528

Collatz Trajectory (183 steps to reach 1)

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

976,800 488,400 244,200 122,100 61,050 30,525 91,576 45,788 22,894 11,447 34,342 17,171 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512 2,756 1,378 689 2,068 1,034

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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