2⁵ × 5² × 7² × 61

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7^2 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 6,901,902

Proper Divisor Sum 4,510,702

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2391167 ← → #2391227

Radix Representation

Decimal	2391200
Binary	1001000111110010100000 (22 bits)
Octal	0o11076240
Hexadecimal	0x247CA0

Divisor Catalog (60 of 108)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 70 80 98 100 112 122 140 160 175 196 200 224 244 245 280 305 350 392 400 427 488 490 560 610 700 784 800 854 976 980 1,120 1,220 1,225 1,400 1,525 1,568 1,708 1,952 1,960 2,135 2,440

Collatz Trajectory (161 steps to reach 1)

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

2,391,200 1,195,600 597,800 298,900 149,450 74,725 224,176 112,088 56,044 28,022 14,011 42,034 21,017 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

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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