9,741,324

2² × 3 × 811777

Starting at 9,741,324, the Collatz iteration reaches 1 after 207 steps. The first transition is 4870662; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 811777

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 22,729,784

Proper Divisor Sum 12,988,460

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9741307 ← → #9741341

Radix Representation

Decimal	9741324
Binary	100101001010010000001100 (24 bits)
Octal	0o45122014
Hexadecimal	0x94A40C

Divisor Catalog (12)

1 2 3 4 6 12 811,777 1,623,554 2,435,331 3,247,108 4,870,662 9,741,324

Collatz Trajectory (207 steps to reach 1)

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

9,741,324 4,870,662 2,435,331 7,305,994 3,652,997 10,958,992 5,479,496 2,739,748 1,369,874 684,937 2,054,812 1,027,406 513,703 1,541,110 770,555 2,311,666 1,155,833 3,467,500 1,733,750 866,875 2,600,626 1,300,313 3,900,940 1,950,470 975,235 2,925,706 1,462,853 4,388,560 2,194,280 1,097,140 548,570 274,285 822,856 411,428 205,714 102,857 308,572 154,286 77,143 231,430 115,715 347,146 173,573 520,720 260,360 130,180 65,090 32,545 97,636 48,818 24,409 73,228 36,614 18,307 54,922 27,461 82,384 41,192 20,596 10,298

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