9,073,500

2² × 3 × 5³ × 23 × 263

Starting at 9,073,500, the Collatz iteration reaches 1 after 88 steps. The first transition is 4536750; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 23 × 263

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 27,675,648

Proper Divisor Sum 18,602,148

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9073499 ← → #9073511

Radix Representation

Decimal	9073500
Binary	100010100111001101011100 (24 bits)
Octal	0o42471534
Hexadecimal	0x8A735C

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 263 276 300 345 375 460 500 526 575 690 750 789 1,052 1,150 1,315 1,380 1,500 1,578 1,725 2,300 2,630 2,875 3,156 3,450 3,945 5,260 5,750 6,049 6,575 6,900 7,890 8,625 11,500 12,098

Collatz Trajectory (88 steps to reach 1)

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

9,073,500 4,536,750 2,268,375 6,805,126 3,402,563 10,207,690 5,103,845 15,311,536 7,655,768 3,827,884 1,913,942 956,971 2,870,914 1,435,457 4,306,372 2,153,186 1,076,593 3,229,780 1,614,890 807,445 2,422,336 1,211,168 605,584 302,792 151,396 75,698 37,849 113,548 56,774 28,387 85,162 42,581 127,744 63,872 31,936 15,968 7,984 3,992 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269

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