4,800,732

2² × 3 × 17 × 101 × 233

Starting at 4,800,732, the Collatz iteration reaches 1 after 162 steps. The first transition is 2400366; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 101 × 233

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,029,472

Proper Divisor Sum 7,228,740

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4800709 ← → #4800737

Radix Representation

Decimal	4800732
Binary	10010010100000011011100 (23 bits)
Octal	0o22240334
Hexadecimal	0x4940DC

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 101 102 202 204 233 303 404 466 606 699 932 1,212 1,398 1,717 2,796 3,434 3,961 5,151 6,868 7,922 10,302 11,883 15,844 20,604 23,533 23,766 47,066 47,532 70,599 94,132 141,198 282,396 400,061 800,122 1,200,183 1,600,244 2,400,366 4,800,732

Collatz Trajectory (162 steps to reach 1)

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

4,800,732 2,400,366 1,200,183 3,600,550 1,800,275 5,400,826 2,700,413 8,101,240 4,050,620 2,025,310 1,012,655 3,037,966 1,518,983 4,556,950 2,278,475 6,835,426 3,417,713 10,253,140 5,126,570 2,563,285 7,689,856 3,844,928 1,922,464 961,232 480,616 240,308 120,154 60,077 180,232 90,116 45,058 22,529 67,588 33,794 16,897 50,692 25,346 12,673 38,020 19,010 9,505 28,516 14,258 7,129 21,388 10,694 5,347 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142

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