2² × 3³ × 5² × 43

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 381,920

Proper Divisor Sum 265,820

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #116099 ← → #116101

Radix Representation

Decimal	116100
Binary	11100010110000100 (17 bits)
Octal	0o342604
Hexadecimal	0x1C584

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 43 45 50 54 60 75 86 90 100 108 129 135 150 172 180 215 225 258 270 300 387 430 450 516 540 645 675 774 860 900 1,075 1,161 1,290 1,350 1,548 1,935 2,150 2,322 2,580 2,700 3,225 3,870 4,300 4,644

Collatz Trajectory (198 steps to reach 1)

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

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 1,475 4,426

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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