2⁵ × 3³ × 23 × 37

Prime Factor Structure

Factorization String 2^5 × 3^3 × 23 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,298,240

Proper Divisor Sum 1,562,976

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #735263 ← → #735271

Radix Representation

Decimal	735264
Binary	10110011100000100000 (20 bits)
Octal	0o2634040
Hexadecimal	0xB3820

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 37 46 48 54 69 72 74 92 96 108 111 138 144 148 184 207 216 222 276 288 296 333 368 414 432 444 552 592 621 666 736 828 851 864 888 999 1,104 1,184 1,242 1,332 1,656 1,702 1,776 1,998 2,208

Collatz Trajectory (180 steps to reach 1)

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

735,264 367,632 183,816 91,908 45,954 22,977 68,932 34,466 17,233 51,700 25,850 12,925 38,776 19,388 9,694 4,847 14,542 7,271 21,814 10,907 32,722 16,361 49,084 24,542 12,271 36,814 18,407 55,222 27,611 82,834 41,417 124,252 62,126 31,063 93,190 46,595 139,786 69,893 209,680 104,840 52,420 26,210 13,105 39,316 19,658 9,829 29,488 14,744 7,372 3,686 1,843 5,530 2,765 8,296 4,148 2,074 1,037 3,112 1,556 778

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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