9,706,836

2² × 3 × 71 × 11393

9,706,836 factors as 2^2 × 3 × 71 × 11393. Its 24 positive divisors give a proper-divisor sum of 13,263,468, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 11393

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 22,970,304

Proper Divisor Sum 13,263,468

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9706831 ← → #9706841

Radix Representation

Decimal	9706836
Binary	100101000001110101010100 (24 bits)
Octal	0o45016524
Hexadecimal	0x941D54

Divisor Catalog (24)

Collatz Trajectory (207 steps to reach 1)

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

9,706,836 4,853,418 2,426,709 7,280,128 3,640,064 1,820,032 910,016 455,008 227,504 113,752 56,876 28,438 14,219 42,658 21,329 63,988 31,994 15,997 47,992 23,996 11,998 5,999 17,998 8,999 26,998 13,499 40,498 20,249 60,748 30,374 15,187 45,562 22,781 68,344 34,172 17,086 8,543 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

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