2⁴ × 3³ × 5² × 43

Prime Factor Structure

Factorization String 2^4 × 3^3 × 5^2 × 43

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,691,360

Proper Divisor Sum 1,226,960

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #464383 ← → #464413

Radix Representation

Decimal	464400
Binary	1110001011000010000 (19 bits)
Octal	0o1613020
Hexadecimal	0x71610

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 43 45 48 50 54 60 72 75 80 86 90 100 108 120 129 135 144 150 172 180 200 215 216 225 240 258 270 300 344 360 387 400 430 432 450 516 540 600 645 675

Collatz Trajectory (200 steps to reach 1)

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

464,400 232,200 116,100 58,050 29,025 87,076 43,538 21,769 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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