4,433,200

2⁴ × 5² × 11083

Starting at 4,433,200, the Collatz iteration reaches 1 after 180 steps. The first transition is 2216600; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 11083

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 10,651,724

Proper Divisor Sum 6,218,524

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #4433173 ← → #4433203

Radix Representation

Decimal	4433200
Binary	10000111010010100110000 (23 bits)
Octal	0o20722460
Hexadecimal	0x43A530

Divisor Catalog (30)

1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 11,083 22,166 44,332 55,415 88,664 110,830 177,328 221,660 277,075 443,320 554,150 886,640 1,108,300 2,216,600 4,433,200

Collatz Trajectory (180 steps to reach 1)

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

4,433,200 2,216,600 1,108,300 554,150 277,075 831,226 415,613 1,246,840 623,420 311,710 155,855 467,566 233,783 701,350 350,675 1,052,026 526,013 1,578,040 789,020 394,510 197,255 591,766 295,883 887,650 443,825 1,331,476 665,738 332,869 998,608 499,304 249,652 124,826 62,413 187,240 93,620 46,810 23,405 70,216 35,108 17,554 8,777 26,332 13,166 6,583 19,750 9,875 29,626 14,813 44,440 22,220 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688

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