300,528

2⁴ × 3² × 2087

Starting at 300,528, the Collatz iteration reaches 1 after 65 steps. The first transition is 150264; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 2087

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 841,464

Proper Divisor Sum 540,936

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #300511 ← → #300557

Radix Representation

Decimal	300528
Binary	1001001010111110000 (19 bits)
Octal	0o1112760
Hexadecimal	0x495F0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2,087 4,174 6,261 8,348 12,522 16,696 18,783 25,044 33,392 37,566 50,088 75,132 100,176 150,264 300,528

Collatz Trajectory (65 steps to reach 1)

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

300,528 150,264 75,132 37,566 18,783 56,350 28,175 84,526 42,263 126,790 63,395 190,186 95,093 285,280 142,640 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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