9,738,600

2³ × 3 × 5² × 16231

Starting at 9,738,600, the Collatz iteration reaches 1 after 207 steps. The first transition is 4869300; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 16231

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 30,191,520

Proper Divisor Sum 20,452,920

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9738571 ← → #9738601

Radix Representation

Decimal	9738600
Binary	100101001001100101101000 (24 bits)
Octal	0o45114550
Hexadecimal	0x949968

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 16,231 32,462 48,693 64,924 81,155 97,386 129,848 162,310 194,772 243,465 324,620 389,544 405,775 486,930 649,240 811,550 973,860 1,217,325 1,623,100 1,947,720 2,434,650 3,246,200 4,869,300 9,738,600

Collatz Trajectory (207 steps to reach 1)

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

9,738,600 4,869,300 2,434,650 1,217,325 3,651,976 1,825,988 912,994 456,497 1,369,492 684,746 342,373 1,027,120 513,560 256,780 128,390 64,195 192,586 96,293 288,880 144,440 72,220 36,110 18,055 54,166 27,083 81,250 40,625 121,876 60,938 30,469 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718

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