9,691,200

2⁶ × 3² × 5² × 673

Starting at 9,691,200, the Collatz iteration reaches 1 after 207 steps. The first transition is 4845600; the starting value is even with 126 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 34,495,994

Proper Divisor Sum 24,804,794

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9691193 ← → #9691223

Radix Representation

Decimal	9691200
Binary	100100111110000001000000 (24 bits)
Octal	0o44760100
Hexadecimal	0x93E040

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 673 720 800 900 960 1,200 1,346 1,440 1,600 1,800 2,019

Collatz Trajectory (207 steps to reach 1)

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

9,691,200 4,845,600 2,422,800 1,211,400 605,700 302,850 151,425 454,276 227,138 113,569 340,708 170,354 85,177 255,532 127,766 63,883 191,650 95,825 287,476 143,738 71,869 215,608 107,804 53,902 26,951 80,854 40,427 121,282 60,641 181,924 90,962 45,481 136,444 68,222 34,111 102,334 51,167 153,502 76,751 230,254 115,127 345,382 172,691 518,074 259,037 777,112 388,556 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472

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