2² × 3 × 5² × 7⁴

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 7^4

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 2,431,268

Proper Divisor Sum 1,710,968

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #720299 ← → #720301

Radix Representation

Decimal	720300
Binary	10101111110110101100 (20 bits)
Octal	0o2576654
Hexadecimal	0xAFDAC

Divisor Catalog (60 of 90)

1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1,029 1,050 1,225 1,372 1,470 1,715 2,058 2,100 2,401 2,450 2,940 3,430 3,675 4,116

Collatz Trajectory (118 steps to reach 1)

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

720,300 360,150 180,075 540,226 270,113 810,340 405,170 202,585 607,756 303,878 151,939 455,818 227,909 683,728 341,864 170,932 85,466 42,733 128,200 64,100 32,050 16,025 48,076 24,038 12,019 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

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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